Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Berestovskii, Valerii Nikolaevich

Total publications: 134 (130)
in MathSciNet: 103 (103)
in zbMATH: 66 (66)
in Web of Science: 58 (58)
in Scopus: 62 (62)
Cited articles: 82
Citations: 878
Presentations: 5

Number of views:
This page:8142
Abstract pages:23507
Full texts:8953
References:2912
Berestovskii, Valerii Nikolaevich
Professor
Doctor of physico-mathematical sciences (1990)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 4.03.1949
E-mail: ,
Keywords: homogeneous spaces with inner metric.
UDC: 511, 511.26, 514.747, 514.764.2, 514.7, 519.46, 514.765, 514.752.7, 515.124.3, 519.1, 519.9, 513.813, 515.122.4, 514.764.227, 517.984.56, 517.1, 513.814
MSC: 22

Subject:

generalized Riemannian and Finslerian manifolds, topological and Lie groups.

   
Main publications:
  1. Berestovskii, V. N., “Zonal spherical functions on CROSS's and special functions”, SIBERIAN MATHEMATICAL JOURNAL, 53:4 (2012), 611-624

https://www.mathnet.ru/eng/person8328
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/189636
https://elibrary.ru/author_items.asp?spin=6393-2941
https://orcid.org/0000-0001-5739-9380
https://www.webofscience.com/wos/author/record/E-8765-2013
https://www.scopus.com/authid/detail.url?authorId=13614192300

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. V. N. Berestovskii, A. Mustafa, “The injectivity radius and shortest arcs of the oblate ellipsoid of revolution”, Sibirsk. Mat. Zh., 65:1 (2024), 15–26  mathnet  crossref
2. V. N. Berestovskii, “Timelike and isotropic geodesics of the Gödel universe as a Lie group with left-invariant Lorentz metric”, Sibirsk. Mat. Zh., 65:5 (2024), 795–807  mathnet  crossref
3. V. N. Berestovskii, “Extremals of the induced sub-Lorentz structure on the Gödel universe”, Siberian Math. J., 65:6 (2024), 1292–1304  mathnet  crossref  crossref

   2023
4. V. N. Berestovskii, Yu. G. Nikonorov, “On the stratification and topological structure of classical compact lie groups”, Applied Mathematics & Physics, 55:3 (2023), 207  mathnet  crossref
5. V. N. Berestovskii, “To the Segal chronometric theory”, Siberian Adv. Math., 33:3 (2023), 165–180  mathnet  crossref  crossref  elib

   2022
6. V. N. Berestovskii, Yu. G. Nikonorov, “Semiregular Gosset polytopes”, Izv. Math., 86:4 (2022), 667–698  mathnet  crossref  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
7. V. N. Berestovskiǐ, Yu. G. Nikonorov, “On finite homogeneous metric spaces”, Vladikavk. matem. zhurn., 24:2 (2022), 51–61  mathnet  crossref  mathscinet; 2
8. V. N. Berestovskii, “Lobachevsky geometry and stellar parallaxes”, Siberian Math. J., 63:5 (2022), 834–848  mathnet  crossref  crossref
9. V. N. Berestovskii, I. A. Zubareva, “Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups with three-dimensional generating distributions”, Siberian Math. J., 63:4 (2022), 620–636  mathnet  crossref  crossref

   2021
10. V. N. Berestovskii, Yu. G. Nikonorov, Mat. Tr., 24:1 (2021), 3–34  mathnet  crossref  zmath
11. V. N. Berestovskii, I. A. Zubareva, Siberian Math. J., 62:3 (2021), 383–399  mathnet  crossref  crossref  isi  elib  scopus

   2020
12. V. N. Berestovskii, I. A. Zubareva, Siberian Math. J., 61:4 (2020), 575–588  mathnet  crossref  crossref  zmath  isi  elib  scopus
13. V. N. Berestovskii, I. A. Zubareva, “PMP, (co)adjoint representation, and normal geodesics, of left-invariant (sub-)Finsler metric on Lie groups”, Chebyshevskii Sb., 21:2 (2020), 43–64  mathnet  crossref  zmath

   2019
14. V. N. Berestovskii, “On Urysohn's в„ќ-Tree”, Siberian Math. J., 60:1 (2019), 10–19  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
15. V. N. Berestovskii, “Lorentzian Manifolds Close to Euclidean Space”, Siberian Math. J., 60:2 (2019), 235–248  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
16. V. N. Berestovskii, Yu. G. Nikonorov, “Finite homogeneous metric spaces”, Siberian Math. J., 60:5 (2019), 757–773  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2018
17. V. N. Berestovskii, “Geodesics and curvatures of special sub-Riemannian metrics on Lie groups”, Siberian Math. J., 59:1 (2018), 31–42  mathnet  crossref  crossref  isi  elib  scopus

   2017
18. V. N. Berestovskiǐ, I. A. Zubareva, “Sub-Riemannian distance on the Lie group $\operatorname{SL}(2)$”, Siberian Math. J., 58:1 (2017), 16–27  mathnet  crossref  crossref  isi  elib  elib  scopus

   2016
19. V. N. Berestovskii, I. A. Zubareva, “Locally isometric coverings of the Lie group $\mathrm{SO}_0(2,1)$ with special sub-Riemannian metric”, Sb. Math., 207:9 (2016), 1215–1235  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
20. V. N. Berestovskii, I. A. Zubareva, V. M. Svirkin, “The spectra of the Laplace operators on connected compact simple Lie groups of rank 3”, Siberian Adv. Math., 26:3 (2016), 153–181  mathnet  crossref  crossref  mathscinet  elib  elib  scopus

   2017
21. V. N. Berestovskiǐ, I. A. Zubareva, “Sub-Riemannian distance on the Lie group $SO_0(2,1)$”, St. Petersburg Math. J., 28:4 (2017), 477–489  mathnet  crossref  mathscinet  isi  elib  scopus

   2016
22. V. N. Berestovskiǐ, I. A. Zubareva, “Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group $SL(2)$”, Siberian Math. J., 57:3 (2016), 411–424  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2015
23. V. N. Berestovskii, I. A. Zubareva, “Correct observer's event horizon in de Sitter space-time”, Sib. elektron. matem. izv., 12 (2015), 101–107  mathnet  crossref  elib 1

   2016
24. V. N. Berestovskii, “(Locally) shortest arcs of special sub-Riemannian metric on the Lie group $SO_0(2,1)$”, St. Petersburg Math. J., 27:1 (2016), 1–14  mathnet  crossref  mathscinet  isi  elib  elib  scopus

   2015
25. V. N. Berestovskiǐ, I. A. Zubareva, “Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group $SO(3)$”, Siberian Math. J., 56:4 (2015), 601–611  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2016
26. V. N. Berestovskii, I. A. Gribanova, “Sub-Riemannian distance in the Lie groups $\mathrm{SU(2)}$ and $\mathrm{SO(3)}$”, Siberian Adv. Math., 26:2 (2016), 77–89  mathnet  crossref  crossref  mathscinet  elib  elib

   2014
27. Berestovskiǐ, V.N., Nikonorov, Y.G., “Generalized normal homogeneous Riemannian metrics on spheres and projective spaces”, Annals of Global Analysis and Geometry, 45:3 (2014), 10.1007/s10455-013-9393-x , 167-196 pp.  crossref  mathscinet  isi  scopus 15
28. Berestovskii V.N., Gorbatsevich V.V., “Homogeneous spaces with inner metric and with integrable distributions//”, Analysis and Mathematicsl Physics, 2014, 69 pp http://link.springer.com/article/10.1007/s13324-014-0083-z  crossref
29. V. N. Berestovskiǐ, “Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric”, Siberian Math. J., 55:5 (2014), 783–791  mathnet  crossref  mathscinet  isi  elib  elib  scopus

   2015
30. V. N. Berestovskiǐ, I. A. Zubareva, “Functions with (non)timelike gradient on a space-time”, Siberian Adv. Math., 25:4 (2015), 243–254  mathnet  crossref  mathscinet  elib

   2013
31. V. N. Berestovskiǐ, “Generalized normal homogeneous spheres $S^{4n+3}$ with greatest connected motion group $Sp(n+1)\cdot U(1)$”, Siberian Mathematical Journal, 54:5 (2013), 776–789  mathnet  crossref  mathscinet  isi  elib  scopus
32. V. N. Berestovskiǐ, “Generalized normal homogeneous spheres”, Siberian Mathematical Journal, 54:4 (2013), 588–603  mathnet  crossref  mathscinet  isi  elib  scopus

   2014
33. V. N. Berestovskiǐ, “Homogeneous almost normal Riemannian manifolds”, Siberian Advances in Mathematics, 24:1 (2014), 12–17  mathnet  crossref  mathscinet  elib  scopus

   2012
34. Berestovskii, V. N., “Zonal spherical functions on CROSS's and special functions”, SIBERIAN MATHEMATICAL JOURNAL, 53:4 (2012), 611-624  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 1
35. V. N. Berestovskii, Yu. G. Nikonorov, RIMANOVY MNOGOOBRAZIYa I ODNORODNYE GEODEZIChESKIE, Itogi nauki. Yug Rossii. Matematicheskaya monografiya. Vyp. 4., Seriya Matematicheskaya, Rossiiskaya akad. nauk, Vladikavkazskii nauch. tsentr, Yuzhnyi mat. in-t., Vladikavkaz, 2012 , 412 pp.  mathscinet  elib
36. Berestovskii V.N., Nikonorov Yu.G., “KILLINGOVY VEKTORNYE POLYa POSTOYaNNOI DLINY NA SFERAKh”, Sbornik nauchnykh statei mezhdunarodnoi shkoly-seminara ”Lomonosovskie chteniya na Altae, v 4 ch. (Barnaul, 20-23 noyabrya, 2012), eds. Rodionova E.D., Barnaulskii gosudarstvennyi universitet, Barnaul, 2012, 252-259  elib
37. Berestovskii V.N., “O spektre operatora Laplasa dlya veschestvennykh funktsii na kompaktnykh normalnykh odnorodnykh rimanovykh mnogoobraziyakh”, Trudy konferentsii “Dni geometrii v Novosibirske-2011”, posvyaschennoi 50-letiyu Kafedry geometrii i topologii Novosibirskogo gosudarstvennogo universiteta Geometry Days in Novosibirsk, proceeding of the International Conference “Geometry Days in Novosibirsk-2011” (Novosibirsk, 1-4 sentyabrya 2011 goda), Izd-vo NGU, 2012, S. 16-28

   2011
38. Berestovskii V.N., “Ob odnoi zadache V. A. Toponogova”, Teoriya operatorov, kompleksnyi analiz i matematicheskoe modelirovanie, Tezisy dokladov Mezhdunarodnoi nauchnoi konferentsii (Volgodonsk, Rossiya, 4-8 iyulya 2011), YuMI VNTs i RSO-A, 2011, 29-30
39. Berestovskiǐ, V. N.; Halverson, Denise M.; Repovš, Dušan, “Locally $G$ -homogeneous Busemann $G$ -spaces”, MR2795840, Differential Geom. Appl., 29:3 (2011), 299–318 (53Cxx (57N15 57N75))  crossref  mathscinet  zmath  isi  scopus 4
40. Berestovskiǐ, V. N.; Nikitenko, E. V.; Nikonorov, Yu. G., “Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic”, MR2811663, Differential Geom. Appl., 29:4 (2011), 533–546 , 53Cxx  crossref  mathscinet  zmath  isi  scopus 6
41. Berestovskii V.N., Zubareva I. A., “Nekotorye primeneniya dvoichnykh i troichnykh sistem schisleniya”, Vestnik Kemerovskogo gosudarstvennogo universiteta, 2011, no. 3/1, 106-118  elib
42. Berestovskii V.N., Nikonorov Yu.G., “Ogranichenno odnorodnye po Kliffordu-Volfu rimanovy mnogoobraziya”, Lomonosovskie chteniya na Altae, sbornik nauchnykh statei mezhdunarodnoi shkoly-seminara (Barnaul, 8-11 noyabrya 2011), v 4 ch. Ch. 1, Izdatelstvo AltGPA, Barnaul, 2011, 51-67
43. Berestovskii V.N., “Zonalnye sfericheskie funktsii na KROSPakh i spetsialnye funktsii”, Plenarnyi doklad, Dni geometrii v Novosibirske-2011, Mezhdunarodnaya konferentsiya, posvyaschennaya 50-letpiyu kafedry geometrii i topologii NGU (Novosibirsk, 2011, sentyabr), Izd-vo NGU, 2011 http://math.nsc.ru/conference/geomtop2011/list.html

   2010
44. Berestovskiǐ, V. N., “Solution of a Busemann problem. (Russian) 51 (2010), no. 6, 1215–1227”, MR2797592 (2012b:53059), Siberian Mathematical Journal, 51:6 (2010), 962-970  mathnet  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 2
45. Berestovskiǐ, V. N., “On a problem of V. A. Toponogov. (Russian) 13 (2010), no. 1, 15–22”, MR2682766 (2011i:58009), Mat. Tr., 13:1 (2010), 15–22 , (Reviewer: Vladimir V. Gorbatsevich), 58C05 (53B30)  mathnet  crossref  mathscinet  zmath  scopus 1
46. Berestovskiǐ, V. N.; Plaut, C. P., “Covering $\Bbb R$ -trees, $\Bbb R$ -free groups, and dendrites.”, MR2646109 (2011k:57002), Advances in Mathematics, 224:5 (2010), 1765–1783 , (Reviewer: Daniel P. Groves), 57M07 (20F65 28A80 53C23 54F50)  crossref  mathscinet  zmath  isi  scopus 8
47. Berestovskii V.N., “Reshenie odnoi zadachi G. Buzemana”, Plenarnyi doklad na Mezhdunarodnoi nauchno-prakticheskoi konferentsii, Sovremennye dostizheniya v nauke i obrazovanii. Matematika i informatika, Materialy konferentsii (Arkhangelsk, 1-5 fevralya 2010 g.), Izd-vo Pomorskogo universiteta, Arkhangelsk, 2010, 13-16

   2009
48. V. N. Berestovskii, Yu. G. Nikonorov, “On $\delta$-homogeneous Riemannian manifolds. II”, Siberian Mathematical Journal, 50:2 (2009), 214–222  mathnet  crossref  mathscinet  isi  elib  elib  scopus
49. Berestovskii, Valerii N.; Nikonorov, Yurii G., “Clifford-Wolf homogeneous Riemannian manifolds. no. 3, 467–500. (Reviewer: Luis Guijarro), 53C30”, J. Differential Geom., 82:3 (2009), 467–500 , MR2534986 (2010i:53086)  crossref  mathscinet  zmath  isi  elib  scopus 32

   2010
50. V. N. Berestovskii, V. M. Svirkin,, “The laplace operator on normal homogeneous Riemannian manifolds”, Siberian Advances in Mathematics, 20:4 (2010), 231–255  mathnet  crossref  mathscinet  elib  scopus

   2009
51. V. N. Berestovskii, V. M. Svirkin, “The Laplace Operator Spectrum on Compact Simply Connected Rank Two Lie Groups”, Physics and mathematics, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 4, Kazan University, Kazan, 2009, 15–35  mathnet  elib
52. Berestovskii V.N., Nikitenko E. V., Nikanorov Yu. G., “Klassiyaikatsiya b-odnorodnykh rimanovykh mnogoobrazii eilerovoi kharakteristiki (The classification of b-gomogeneous Rimannian manifokd with positive Euler characteristics)”, Plenarnyi doklad, Sovremennyi analiz i geometriya, Mezhdunarodnaya konferentsiya (Novosibirsk, 14-20 sentyabrya 2009 g.), Izd-vo IM SO RAN, 2009

   2008
53. V. N. Berestovskii, Yu. G. Nikonorov, “Killing vector fields of constant length on Riemannian manifolds”, SIBERIAN MATHEMATICAL JOURNAL, 49:3 (2008), 395–407  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
54. Berestovskiǐ, V. N.; Nikonorov, Yu. G., “Killing vector fields of constant length on locally symmetric Riemannian manifolds”, MR2421316 (2009c:53042), Transform. Groups, 13:1 (2008), 25–45 , (Reviewer: Luis Guijarro), 53C20 (53C35)  crossref  mathscinet  zmath  isi  scopus 14
55. Berestovskiǐ, V. N.; Nikonorov, Yu. G., “The Chebyshev norm on the Lie algebra of the group of motions of a compact homogeneous Finsler manifold. (Russian)”, Sovrem. Mat. Prilozh. Algebra, 60 (2008), MR2676261 (2011f:53173) , 98-121 pp., 53C60 (17B99 53C30) (translation in J. Math. Sci. (N. Y.) 161 (2009), no. 1, 97– 121 (Reviewer: Vladimir V. Gorbatsevich),)  crossref  mathscinet  scopus 1
56. Berestovskiǐ, V. N.; Nikonorov, Yu. G., “On $\delta$ -homogeneous Riemannian manifolds”, Differential Geom. Appl., 26:5 (2008), 514–535 , MR2458278 (2009g:53075) (Reviewer: Luis Guijarro), 53C30 (53C22)  crossref  mathscinet  zmath  isi  elib  scopus 25
57. Berestovskii V.N., Nikonorov Yu.G, “ON CLIFFORD-WOLF HOMOGENEOUS RIEMANNIAN MANIFOLDS”, Doklady Mathematics, 78:3 (2008) , 807-810 pp.  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus

   2007
58. V. N. Berestovskii, “Poincaré conjecture and related statements”, Russian Math. (Iz. VUZ), 51:9 (2007), 1–36  mathnet  crossref  mathscinet  zmath  elib

   2008
59. V. N. Berestovskii, Yu. G. Nikonorov, “Regular and Quasiregular Isometric Flows on Riemannian Manifolds”, Siberian Advances in Mathematics, 18:3 (2008), 153–162  mathnet  crossref  mathscinet  elib  elib  scopus

   2007
60. V. N. Berestovskii, Yu. G. Nikonorov, “Continued Fractions, the Group $\mathrm{GL}(2,\mathbb Z)$, and Pisot Numbers”, Siberian Adv. Math., 17:4 (2007), 268–290  mathnet  crossref  mathscinet  elib
61. Berestovskii, V.N.a , Nikonorov, Yu.G., “On δ-homogeneous Riemannian manifolds”, Doklady Mathematics, 76:1 (2007), 596-598  mathnet  crossref  mathscinet  zmath  elib  scopus
62. Berestovskii V.N., Faizullin R.R., “RASSLOENNOE PROSTRANSTVO NAD PLOSKOSTYu LOBAChEVSKOGO . 2007. # 1. S. 27-32.”, Izvestiya Chelyabinskogo nauchnogo tsentra UrO RAN, 1 (2007. # 1. S. 27-32.) , 6 pp.  elib
63. Valera Berestovskii, Conrad Plaut, “Uniform universal covers of uniform spaces”, Topology and its Applications, 154:8 (2007), 1748-1777  crossref  mathscinet  zmath  isi  elib  scopus 21
64. P. D. Andreev, V. N. Berestovskii, “Dimensions of $\mathbb R$-Trees and Self-Similar Fractal Spaces of Nonpositive Curvature”, Siberian Adv. Math., 17:2 (2007), 79–90  mathnet  crossref  mathscinet  elib

   2006
65. V. N. Berestovskii, “Spiral Dispositions of Nonnegative Integers at Lattice Points”, Siberian Adv. Math., 16:2 (2006), 43–61  mathnet  mathscinet  elib

   2004
66. V. N. Berestovskii, “Similarly homogeneous locally complete spaces with an intrinsic metric”, Russian Math. (Iz. VUZ), 48:11 (2004), 1–19  mathnet  mathscinet  elib
67. Berestovskii, Valera; Plaut, Conrad, “The universal cover of the quotient of a locally defined group”, Topology Proceedings. 18th Summer Conference on Topology and Its Applications held in Honor of W W Comfort, Sponsor(s): NSF; Howard Univ,, Coll Arts & Sci Source: Topology Proceedings, Vol 28, No 2, 2004 Book Series: Volume: 28 Issue: 2 (18th Summer Conference on Topology and Its Applications held in Honor of W W Comfort Location: Howard Univ, Washington, DC Date: JUL 09-12, 2003), NSF; Howard Univ,, Coll Arts & Sci, TOPOLOGY PROCEEDINGS (MONOGRAPHIC SERIES), 28, eds. Dydak, J; Gruenhage, G; Heath, J; et al., AUBURN UNIV, MATH DEPT,, AUBURN, AL 36849 USA, 2004, 335-342  mathscinet

   2003
68. Berestovskii V.N., “Odnorodnye prostranstva: rezultaty, perspektivy, nereshennye zadachi ISBN 5-86134-117-6”, Trudy po geometrii i analizu, ISBN 5-86134-117-6, Izd-vo IM SO RAN, Novosibirsk:, 2003, 26-68
69. Berestovskii V.N., “Pathologies in Aleksandrov spaces of curvature bounded above”, Siberian Advances in Mathematics, 13:4 (2003), 11-16  mathscinet
70. V. N. Berestovskii, “Buzeman spaces with upper bounded Aleksandrov curvature”, St. Petersburg Math. J., 14:5 (2003), 713–723  mathnet  mathscinet  zmath

   2002
71. Berestovskiǐ V.N., “ISOMETRIES IN ALEKSANDROV SPACES OF CURVATURE BOUNDED ABOVE”, Illinois Journal of Mathematics, 46:2 (2002), 645-656  crossref  mathscinet  zmath  isi  elib  scopus 3
72. Berestovskii V., Plaut C., “EMBEDDING LATTICES IN L2([0, 1], ℤ)”, Journal of Geometry., 75:1-2 (2002), 27-45  crossref  mathscinet  zmath  elib  scopus
73. Berestovskii V.N., “Odnorodnye prostranstva: rezultaty, perspektivy, nereshennye zadachi”, Mezhdunarodnaya konferentsiya-shkola po geometrii i analizu, posvyaschennaya pamyati A. D. Aleksandrova (1912-1999) (Novosibirsk, 9-20 sent., 2002), Izd-vo IM SO RAN, Novosibirsk, 2002, 4-8

   2001
74. V. N. Berestovskii, I. A. Zubareva, “Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups”, Siberian Mathematical Journal, 42:4 (2001), 613–628  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2004
75. V. N. Berestovskii, V. M. Gichev, “Metrized semigroups”, J. Math. Sci. (N. Y.), 119:1 (2004), 10–29  mathnet  crossref  mathscinet  zmath

   2001
76. Berestovskii V., Plaut C., “COVERING GROUP THEORY FOR LOCALLY COMPACT GROUPS”, General Topology and its Applications, 114:2 (2001), 187-199  crossref  mathscinet  zmath  isi  elib  scopus 7
77. Berestovskii V., Plaut C., “COVERING GROUP THEORY FOR TOPOLOGICAL GROUPS”, General Topology and its Applications, 114:2 (2001), 141-186  crossref  mathscinet  zmath  isi  elib  scopus 13
78. Berestovskii V., Plaut C., “COVERING GROUP THEORY FOR COMPACT GROUPS”, Journal of Pure and Applied Algebra, 161:3 (2001), 255-267  crossref  mathscinet  zmath  isi  elib  scopus 4
79. Berestovskii V.N., “Metricheskaya kharakterizatsiya rimanovykh submersii dlya mnogoobrazii A. D. Aleksandrova ogranichennoi krivizny”, Trudy konferentsii “Geometriya i prilozheniya”, posvyaschennoi 70-letiyu V. A. Toponogova (Novosibirsk, 13-16 marta, 2000), ISBN 5-86134-098-6, Izd-vo IM SO RAN, Novosibirsk, 2001, 11-16  mathscinet  zmath

   2000
80. Berestovskii V.N., Guijarro L., “A METRIC CHARACTERIZATION OF RIEMANNIAN SUBMERSIONS”, Annals of Global Analysis and Geometry, 18:6 (2000), 577-588  crossref  mathscinet  zmath  elib  scopus 40
81. Berestovskii V.N., Zubareva I.A., “O regulyarnosti i kriviznakh Gaussa-Kronekera granits dvoistvennykh tel”, Trudy po analizu i geometrii, ISBN 5-86134-091-9, eds. Vodopyanov S. K., Izd-vo IM SO RAN, Novosibirsk, 2000, 73-81  mathscinet  zmath
82. Berestovskii V.N., “Ultrametric Spaces”, Trudy po analizu i geometrii, ISSN 5-86134-091-9, eds. Vodopyanov S. K., Izd-vo Instituta matematiki im. S. L. Soboleva, Novosibirsk, Koptyuga 4, 2000, S. 47-72  mathscinet  zmath
83. V. N. Berestovskii, V. M. Gichev, “Metrized left-invariant orders on topological groups”, St. Petersburg Math. J., 11:4 (2000), 543–565  mathnet  mathscinet  zmath

   1999
84. Berestovskii V.N., Plaut, C.; Stallman, C., “GEOMETRIC GROUPS. I”, Transactions of the American Mathematical Society, 351:4 (1999), 1403-1422  crossref  mathscinet  zmath  isi  elib  scopus 10
85. Berestovskii V., Plaut C., “HOMOGENEOUS SPACES OF CURVATURE BOUNDED BELOW”, Journal of Geometric Analysis, 9:2 (1999), 203-219  crossref  mathscinet  zmath  elib  scopus 21

   1998
86. Berestovskii V. N., Davydova E. V., “Linii krivizny i vodorazdela na poverkhnosti”, Matematicheskie struktury i modelirovanie, 1998, no. 2, 4-14  mathscinet  zmath
87. Berestovskii V.N., Bumina E.A., “TsELOChISLENNYE REShETKI I PROSTYE ChISLA.”, Vestnik Omskogo universiteta, 1998, no. 3, 13-15  mathscinet  zmath
88. Berestovskii V.N., Gichev V.M., METRIZOVANNYE PORYaDKI NA TOPOLOGIChESKIKh GRUPPAKh, otchet o NIR # 98-01-00385 (Rossiiskii fond fundamentalnykh issledovanii), 1998  elib

   1997
89. Berestovskii V.N., Gichev V.M., “METRIChESKII PODKhOD K IZUChENIYu STRUKTUR PORYaDKA NA GRUPPAKh LI”, Informatsionnyi byulleten RFFI, 5:1 (1997), 236  elib
90. Berestovskii V.N., Gichev V.M., METRIChESKII PODKhOD K IZUChENIYu STRUKTUR PORYaDKA NA GRUPPAKh LI, otchet o NIR # 97-01-00687 (Rossiiskii fond fundamentalnykh issledovanii), 1997  elib

   1999
91. J. Math. Sci. (New York), 94:2 (1999), 1145–1146  mathnet  crossref  mathscinet  zmath  scopus

   1996
92. Berestovskii V. N., “Isometric embeddings of ultrametric spaves and groups”, Vtoroi Sibirskii kongress po prikladnoi i industrialnoi matematike-96 (Novosibirsk, 1996), Izd-vo IM AN, 1996, s. 88

   1995
93. V. N. Berestovskii, “Homogeneous Riemannian manifolds of positive Ricci curvature”, Math. Notes, 58:3 (1995), 905–909  mathnet  crossref  mathscinet  zmath  isi  scopus
94. V. N. Berestovskii, “Compact homogeneous manifolds with integrable invariant distributions, and scalar curvature”, Sb. Math., 186:7 (1995), 941–950  mathnet  crossref  mathscinet  zmath  isi  scopus
95. Berestovskii V.N., “O prostranstvakh A. D. Aleksandrova ogranichennoi sverkhu krivizny”, Doklady RAN, 324:3 (1995), 304-306  mathnet  mathscinet  zmath
96. Berestovskii V. N., “Generalized gomogenneous Riemannian spaces”, Gruppy v analize i geometrii, mezhdunarodnaya konferentsiya (Omsk, avgust 1995), Izd-vo OmGU, 1995, 11-12

   1994
97. V. N. Berestovskii, “Homogeneous spaces with intrinsic metric (unsolved problems)”, Russian Math. (Iz. VUZ), 38:2 (1994), 15–19  mathnet  mathscinet  zmath
98. V. N. Berestovskii, “Geodesics of a left-invariant nonholonomic Riemannian metric on the group of motions of the Euclidean plane”, Siberian Mathematical Journal, 35:6 (1994), 1083–1088  mathnet  crossref  mathscinet  zmath  isi  scopus
99. V. N. Berestovskii, “Geodesics of nonholonomic left-invariant intrinsic metrics on the Heisenberg group and isoperimetric curves on the Minkowski plane”, Siberian Mathematical Journal, 35:1 (1994), 1–8  mathnet  crossref  mathscinet  zmath  isi  scopus
100. Berestovskii V.N., “Mnogoobraziya s vnutrennei metrikoi odnostoronne ogranichennoi po A. D. Aleksandrovu krivizny”, Matematicheskaya fizika. analiz. Geometriya., 1:1 (1994), 41-59  mathscinet  zmath
101. Berestovskii V.N., “Homogeneous spaces with integrable invariant distributions and scalar curvature of homogeneous Rimannian spaces”, Congress of Mathematics (Zurich, Switzerland, aug 1994), Zurich, 1994, p. 42

   1993
102. V. N. Berestovskii, D. E. Vol'per, “A class of $U(n)$-invariant Riemannian metrics on manifolds diffeomorphic to odd-dimensional spheres”, Siberian Mathematical Journal, 34:4 (1993), 612–619  mathnet  crossref  mathscinet  zmath  isi  scopus
103. V. N. Berestovskij I. G. Nikolaev, Multidimensional Generalized Riemannian Spaces, Non-regular Riemannian Geometry, Encyclopedia of Mathematical Sciences, 70, Geometry IV. Non-regular Riemannian Geometry, eds. Yu. G. Reshetnyak, Springer-Verlag, 1993 , C. 165-243 pp., ISSN 0938-0396 http://link.springer.com/chapter/10.1007  crossref  mathscinet 25

   1992
104. V. N. Berestovskii, “Compact homogeneous manifolds with integrable invariant distributions”, Russian Math. (Iz. VUZ), 36:6 (1992), 39–45  mathnet  mathscinet  zmath
105. Berestovskii V.N., Vershik A. M, “Manifolds with intrinsic metrics and nonholonomic spaces”, Advances in Soviet Mathematics, 1992, no. 9, 253-267  mathscinet  zmath
106. Berestovskii V.N., “Osnovaniya geometrii odnorodnykh mnogoobrazii s vnutrennei metrikoi”, Pamyati Lobachevskogo posvyaschaetsya, Sb. st. / Nauch. red. i sost. A. P. Shirokov. sbornik, posvyaschennyi 200-letiyu so dnya rozhdeniya Nikolaya Ivanovicha Lobachevskogo, ISBN 5-7464-0788-7, 1, eds. Shirokov A.P., Izdatelstvo Kazanskogo gosudarstaennogo universiteta, 1992, 3-18  mathscinet

   1990
107. Berestovskii V.N., Odnorodnye prostranstva s vnutrennei metrikoi, doktorskaya dissertatsiya po spetsialnosti 01.01.04, Novosibirsk, Novosibirsk, Koptyuga 4, 1990 , 269 pp.

   1989
108. V. N. Berestovskii, I. G. Nikolaev, “Multidimensional generalized Riemannian spaces”, Geometry – 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 70, VINITI, Moscow, 1989, 190–272  mathnet  mathscinet  zmath
109. V. N. Berestovskii, “The structure of locally compact homogeneous spaces with an intrinsic metric”, Siberian Math. J., 30:1 (1989), 16–25  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus
110. V. N. Berestovskii, “Homogeneous manifolds with intrinsic metric. II”, Siberian Math. J., 30:2 (1989), 180–191  mathnet  crossref  mathscinet  zmath  isi  scopus
111. Berestovskii V.N., Nikolaev I. G., “Mnogomernye obobschennye rimanovy prostranstva”, Itogi nauki i tekhniki. sovremennye problemy matematiki. Fundamentalnye napravleniya, Itogi nauki i tekhniki. sovremennye problemy matematiki. Fundamentalnye napravleniya, 70, VINITI, Moskva, 1989, 190-271  mathnet  mathscinet 3
112. Berestovskii V. N., “Kvazikonusy prostranstv Lobachevskogo v beskonechnosti”, Mezhdunarodnya konferentsiya po algebre, posvyaschennaya pamyati A. I. Maltseva (1909-1967). Algebraicheskaya geometriya, algebraicheskie metody v geometrii, analize i fizike. Prikladnaya i kompyuternaya algebra. (Novosibirsk, 1989), tezisy dokladov, Izd-vo IM SO, 1989, s. 9  mathscinet
113. V. N. Berestovskii, “Homogeneous spaces with an intrinsic metric”, Dokl. Math., 38:1 (1989), 60–63  mathnet  mathnet  mathscinet  zmath  isi

   1988
114. V. N. Berestovskii, “Homogeneous manifolds with an intrinsic metric. I”, Siberian Math. J., 29:6 (1988), 887–897  mathnet  crossref  mathscinet  mathscinet  zmath  adsnasa  isi  scopus
115. Berestovskii V. N., “Krivizny levoinvariantnykh rimanovykh metrik”, Geometriya i topologiya odnorodnykh prostranstv, Izd-vo Altaiskogo gosudarstvennogo universiteta, Barnaul, 1988, 3-12  mathscinet

   1987
116. BERESTOVSKII, VN, “SUBMETRIES OF SPACE-FORMS OF NEGATIVE CURVATURE”, SIBERIAN MATHEMATICAL JOURNAL, 28:4 (1987), 552-562  mathnet  crossref  mathscinet  mathscinet  zmath  isi  isi  scopus 9
117. Berestovskii V. N., “Ob odnorodnykh mnogoobraziyakh s vnutrennei metrikoi”, Vsesoyuznaya konferentsiya po geometrii v tselom (Novosibirsk, sentyabr 1987), Izd-vo IM SO, Novosibirsk, 1987, s. 14

   1986
118. A. D. Aleksandrov, V. N. Berestovskii, I. G. Nikolaev, “Generalized Riemannian spaces”, Russian Math. Surveys, 41:3 (1986), 1–54  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
119. Berestovskii V.N., “SPACES WITH BOUNDED CURVATURE AND DISTANCE GEOMETRY”, Siberian Mathematical Journal, 27:8 (1986), 8-19  mathnet  crossref  mathscinet  mathscinet  zmath  isi  isi  scopus

   1985
120. V. N. Berestovskii, “Generalized symmetric spaces”, Siberian Math. J., 26:2 (1985), 159–170  mathnet  crossref  mathscinet  mathscinet  zmath  isi  isi  scopus
121. Berestovskii V.N., Aleksandrov A. D., Finslerovo prostranstvo obobschennoe, Matematicheskaya entsiklopediya. T. 5. S. 624-625, 1985

   1984
122. Berestovskii V.N., Aleksandrov A. D., Rimanovo prostranstvo obobschennoe, Matematicheskaya entsiklopediya. T. 4. S. 1022-1026., 1984

   1983
123. BERESTOVSKII, VN, “BORSUK'S PROBLEM ON METRIZATION OF POLYHEDRON”, Soviet Math. Dokl., 27:1, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit# (1983), 56-59  mathnet  mathnet  mathscinet  zmath  isi
124. V. N. Berestovskii, “Borsuk's problem on the metrization of a polyhedron”, Dokl. Akad. Nauk SSSR, 268:2 (1983), 273–277  mathnet  mathscinet  zmath

   1982
125. BERESTOVSKII, VN, “HOMOGENEOUS BUSEMAN G-SPACES”, SIBERIAN MATHEMATICAL JOURNAL, 23:2 (1982), 141-150  mathnet  crossref  mathscinet  mathscinet  zmath  isi  isi  scopus
126. Berestovskii V. N., “Reshenie zadachi K. Borsuka o metrizatsii poliedra”, Simpozium po geometrii v tselom i osnovaniyam teorii otnositelnosti (Novosibirsk, sentyabr 1982), Izd-vo IM SO, 1982, 9-10

   1981
127. BERESTOVSKII, VN,, “ON SPACES WITH LIMITED CURVATURE”, DOKLADY AKADEMII NAUK, 258:2 (1981), 491-493  mathnet  mathscinet  mathscinet  zmath  isi

   1979
128. Berestovskii V. N., “On homogeneous Busemann G-spaces”, Russian Academy of Sciences. Doklady. Mathematics, 20 (1979), 727-730  mathnet  mathscinet  mathscinet  zmath
129. Berestovskii V.N., K metricheskim osnovaniyam rimanovoi geometrii, kandidatskaya dissertatsiya, Kazanskii gosudarstvennyi universitet, KGU, 1979 , 77 pp.
130. Berestovskii V.N., “Odnorodnye G-prostranstva Buzemana”, VII Vsesoyuznaya konferentsiya po sovremennym problemam geometrii (Minsk, oktyabr 1979), Izd-vo Minskogo gosuniversiteta, 1979, s. 26

   1977
131. Berestovskii, V.N., “The finite-dimensionality problem for Busemann G-spaces”, Siberian Mathematical Journal, 18:1 (1977), 159-161  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus
132. Berestovskii, V.N., “A condition of existence of the curvature tensor”, Siberian Mathematical Journal, 18:1 (1977), 29-35  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus

   1975
133. Berestovskii V.N., “INTRODUCTION OF A RIEMANNIAN STRUCTURE INTO CERTAIN METRIC SPACES”, Siberian Mathematical Journal, 16:4 (1975), 499-507  mathnet  crossref  mathscinet  mathscinet  zmath  isi  scopus

   1974
134. Berestovskii V.N., “Vvedenie rimanovoi struktury v nekotorykh prostranstvakh Buzemana”, Materialy XII Vsesoyuznoi nauchnoi strudencheskoi konferentsii (matematika) (Novosibirsk), Izd-vo NGU, Novosibirsk, 1974, 55-56  mathscinet

Presentations in Math-Net.Ru
1. Local isometric coverings of the Lie group SO0(2,1) with a sub-Riemannian metric
V. N. Berestovskii
International Conference "Geometric Analysis and Control Theory"
December 12, 2016 11:40   
2. Sub-Riemannian geometry on the ground of homogeneous spaces
V. N. Berestovskii
The International Conference "Geometric Control Theory and Analysis on Metric Structures"
August 4, 2014 10:00
3. Кратчайшие и расстояния для специальных левоинвариантных субримановых метрик на $SO(3)$ и $SO(2,1)$. Лекция 3
V. N. Berestovskii
Summer school "Geometric Control Theory and Analysis on Metric Structures"
July 30, 2014 09:00   
4. Кратчайшие и расстояния для специальных левоинвариантных субримановых метрик на $SO(3)$ и $SO(2,1)$. Лекция 2
V. N. Berestovskii
Summer school "Geometric Control Theory and Analysis on Metric Structures"
July 29, 2014 14:30   
5. Кратчайшие и расстояния для специальных левоинвариантных субримановых метрик на $SO(3)$ и $SO(2,1)$. Лекция 1
V. N. Berestovskii
Summer school "Geometric Control Theory and Analysis on Metric Structures"
July 28, 2014 09:00   

Organisations
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025