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Shelekhov, Aleksandr Mikhailovich
Statistics Math-Net.Ru
Total publications: 47
Scientific articles: 45
Presentations: 7

Number of views:
This page:1817
Abstract pages:9469
Full texts:3460
References:1224
Professor
Doctor of physico-mathematical sciences (1989)
E-mail:
Website: http://mpgu.su/staff/shelehov-aleksandr-mihaylovich/

https://www.mathnet.ru/eng/person20364
https://ru.wikipedia.org/wiki/Shelekhov,_Aleksandr_Mikhailovich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/214626
https://elibrary.ru/author_items.asp?authorid=126569
ISTINA https://istina.msu.ru/workers/19719745

Publications in Math-Net.Ru Citations
2024
1. A.M. Shelekhov, “Сurvilinear three-webs with automorphisms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 6,  89–97  mathnet
2. A.M. Shelekhov, “On triangulation of the plane by pencils of conics III”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 1,  77–97  mathnet
2023
3. O. E. Arsen'eva, M. B. Banaru, M. P. Burlakov, N. I. Guseva, A. R. Rustanov, S. V. Kharitonova, A.M. Shelekhov, “Vadim Fedorovich Kirichenko”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 220 (2023),  3–16  mathnet 1
4. A.M. Shelekhov, “Three-webs from circles”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 12,  71–89  mathnet
2021
5. A.M. Shelekhov, “On the curvatures of a curve in $n$-dimensional Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 11,  54–66  mathnet; Russian Math. (Iz. VUZ), 65:11 (2021), 46–58
2020
6. A. M. Shelekhov, “Three-webs $W(r,r,2)$”, Mat. Sb., 211:6 (2020),  132–156  mathnet  mathscinet  elib; Sb. Math., 211:6 (2020), 875–899  isi  scopus
7. A. M. Shelekhov, “A generalized theorem on curvilinear three-web boundaries and its applications”, Mat. Sb., 211:3 (2020),  124–157  mathnet  mathscinet  elib; Sb. Math., 211:3 (2020), 422–454  isi  scopus 4
2019
8. A.M. Shelekhov, “On fractal constructions on curvilinear three-web”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 9,  63–72  mathnet; Russian Math. (Iz. VUZ), 63:9 (2019), 55–62  isi  scopus 3
2018
9. A. M. Shelekhov, “Minimal Projectivity Condition for a Smooth Mapping and the Gronwall Problem”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148 (2018),  109–121  mathnet  mathscinet; J. Math. Sci. (N. Y.), 248:4 (2020), 484–496
10. A. M. Shelekhov, “On hexagonal three-webs formed by Cartesian net and a family of circles”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10,  79–93  mathnet; Russian Math. (Iz. VUZ), 62:10 (2018), 68–81  isi  scopus 4
11. A. M. Shelekhov, “Three-webs defined by symmetrical functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 6,  63–77  mathnet; Russian Math. (Iz. VUZ), 62:6 (2018), 56–68  isi  scopus
12. A. M. Shelekhov, “An elementary proof of Poncelet's theorem on bicentric polygons”, Mat. Sb., 209:10 (2018),  126–140  mathnet  mathscinet  elib; Sb. Math., 209:10 (2018), 1533–1546  isi  scopus
13. E. A. Onoprienko, A. M. Shelekhov, “Bol three-webs $B_m^{\triangledown}$ with torsion tensor of rank $\rho$”, Mat. Sb., 209:8 (2018),  66–113  mathnet  mathscinet  elib; Sb. Math., 209:8 (2018), 1164–1210  isi  scopus
2017
14. A. M. Shelekhov, “Full classification of isotopically invariant varieties of analytic loops defined by right identities of length four”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3,  68–77  mathnet; Russian Math. (Iz. VUZ), 61:3 (2017), 58–66  isi  scopus
15. A. M. Shelekhov, “Canonical frame of a curve on a conformal plane”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 2,  76–87  mathnet; Russian Math. (Iz. VUZ), 61:2 (2017), 64–73  isi  scopus 1
2016
16. M. I. Kabanova, A. M. Shelekhov, “Сanonical frames of a curve in multidimensional affine space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4,  23–31  mathnet; Russian Math. (Iz. VUZ), 60:4 (2016), 17–24  isi  scopus
17. A. M. Shelekhov, E. A. Onoprienko, “Bol three-webs with covariant constant curvature tensor”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3,  82–92  mathnet; Russian Math. (Iz. VUZ), 60:3 (2016), 72–81  isi  scopus 1
2015
18. G. A. Tolstikhina, A. M. Shelekhov, “On the structure equations of the three-web defined by the core of a given left Bol three-web”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 8,  75–84  mathnet; Russian Math. (Iz. VUZ), 59:8 (2015), 62–69  scopus 11
19. K. R. Dzhukashev, A. M. Shelekhov, “Multidimensional smooth loops with universal elasticity”, Mat. Sb., 206:5 (2015),  35–60  mathnet  mathscinet  zmath  elib; Sb. Math., 206:5 (2015), 650–675  isi  scopus 2
2014
20. G. A. Tolstikhina, A. M. Shelekhov, “On the three-web associated to the core of a left Bol three-web”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 12,  83–88  mathnet; Russian Math. (Iz. VUZ), 58:12 (2014), 70–74  scopus 3
21. M. I. Kabanova, A. M. Shelekhov, “Nonholonomic $(n+1)$-webs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 12,  27–36  mathnet; Russian Math. (Iz. VUZ), 58:12 (2014), 23–31  scopus
2013
22. G. A. Tolstikhina, A. M. Shelekhov, “The left Bol three-webs with the $IC$-property”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 5,  25–35  mathnet; Russian Math. (Iz. VUZ), 57:5 (2013), 20–28 4
23. M. V. Antipova, A. M. Shelekhov, “Eight-dimensional Bol webs with an almost zero curvature tensor”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2,  3–15  mathnet; Russian Math. (Iz. VUZ), 57:2 (2013), 1–12  scopus 1
24. V. M. Kuzakon', A.M. Shelekhov, “Invariants of smooth layerings”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 4,  71–81  mathnet
25. V. B. Lazareva, A.M. Shelekhov, “On triangulations of the plane by pencils of conics. II”, Mat. Sb., 204:6 (2013),  93–134  mathnet  mathscinet  zmath  elib; Sb. Math., 204:6 (2013), 869–909  isi  elib  scopus 5
2011
26. M. A. Akivis, A. M. Shelekhov, “Closed $G$-structures defined by three-webs”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153:3 (2011),  22–28  mathnet
2010
27. M. A. Akivis, A. M. Shelekhov, “Cartan–Laptev method in the theory of multidimensional three-webs”, Fundam. Prikl. Mat., 16:1 (2010),  13–38  mathnet  mathscinet  elib; J. Math. Sci., 177:4 (2011), 522–540  scopus 7
2007
28. B. V. Lazareva, A. M. Shelekhov, “On the problem of classification of regular 4-webs formed by pencils of spheres”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 12,  70–76  mathnet  mathscinet; Russian Math. (Iz. VUZ), 51:12 (2007), 71–77 1
29. V. B. Lazareva, A. M. Shelekhov, “On triangulations of the plane by pencils of conics”, Mat. Sb., 198:11 (2007),  107–134  mathnet  mathscinet  zmath  elib; Sb. Math., 198:11 (2007), 1637–1663  isi  elib  scopus 9
2005
30. A. M. Shelekhov, “Curvilinear three-webs that admit a one-parameter family of automorphisms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 5,  68–70  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:5 (2005), 64–66 2
31. G. A. Tolstikhina, A. M. Shelekhov, “On Bol three-webs formed by foliations of different dimensions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 5,  56–62  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:5 (2005), 52–58 3
2004
32. A. A. Utkin, A. M. Shelekhov, “Three-webs defined by the Riccati equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 11,  87–90  mathnet  mathscinet; Russian Math. (Iz. VUZ), 48:11 (2004), 79–82 2
2003
33. G. A. Tolstikhina, A. M. Shelekhov, “Multipoint invariants of transformation groups, and three-webs defined by them”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 11,  82–87  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:11 (2003), 78–83
2001
34. A. A. Utkin, A. M. Shelekhov, “Three-webs defined by a linear differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 11,  54–57  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 45:11 (2001), 52–55 3
1991
35. A. M. Shelekhov, “Analytic solutions of the functional equation $(xy)x=x(yx)$”, Mat. Zametki, 50:4 (1991),  132–140  mathnet  mathscinet  zmath; Math. Notes, 50:4 (1991), 1073–1078  isi 6
1990
36. A. M. Shelekhov, “Autotopies of three-webs and geometric $G$-webs”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 5,  75–77  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 34:5 (1990), 87–90 1
1989
37. A. M. Shelekhov, “Classification of multidimensional three-webs according to closure conditions”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 21 (1989),  109–154  mathnet  mathscinet  zmath; J. Soviet Math., 55:6 (1991), 2140–2168 6
38. M. A. Akivis, A. M. Shelekhov, “Fourth-order alternators of a local analytic loop and three-webs of multidimensional surfaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 4,  12–16  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:4 (1989), 13–18
1987
39. A. M. Shelekhov, “Higher-order differential geometric objects of a multidimensional three-web”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 19 (1987),  101–154  mathnet  mathscinet  zmath; J. Soviet Math., 44:2 (1989), 153–190 5
1986
40. A. M. Shelekhov, “Three-webs defined by a determinantal surface”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 3,  84–86  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:3 (1986), 119–122
1984
41. V. B. Lazareva, A. M. Shelekhov, “Geometric interpretation of invariant rigging of a point correspondence of three straight lines”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 9,  43–47  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:9 (1984), 57–62 1
1981
42. A.M. Shelekhov, “Three-webs with a partially symmetric curvature tensor”, Sibirsk. Mat. Zh., 22:1 (1981),  210–219  mathnet  mathscinet  zmath; Siberian Math. J., 22:1 (1981), 156–163  isi 3
1971
43. A. M. Shelekhov, “Complexes containing normal line congruences in multidimensional non-Euclidean spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 4,  102–109  mathnet  zmath
44. M. A. Akivis, A.M. Shelekhov, “Local differentiable quasigroups, and connections that are associated with a three-web of multidimensional surfaces”, Sibirsk. Mat. Zh., 12:6 (1971),  1181–1191  mathnet  mathscinet  zmath; Siberian Math. J., 12:6 (1971), 845–852 1
45. M. A. Akivis, A.M. Shelekhov, “The computation of the curvature and torsion tensors of a multidimensional three-web and of the associator of the local quasigroup that is connected with it”, Sibirsk. Mat. Zh., 12:5 (1971),  953–960  mathnet  mathscinet  zmath; Siberian Math. J., 12:5 (1971), 685–689 4
2022
46. A. R. Rustanov, A.M. Shelekhov, O. E. Arsen'eva, V. F. Kirichenko, M. P. Burlakov, M. B. Banaru, N. I. Guseva, S. V. Kharitonova, A. O. Ivanov, V. N. Chubarikov, N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii, “In memory of Vadim Fedorovich Kirichenko”, Chebyshevskii Sb., 23:1 (2022),  328–329  mathnet
1993
47. V. V. Goldberg, A. M. Shelekhov, A. T. Fomenko, V. F. Kirichenko, V. V. Ryzhkov, “Maks Aizikovich Akivis (on the occasion of his 70th birthday and 50 years of scientific activity)”, Uspekhi Mat. Nauk, 48:3(291) (1993),  213–216  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:3 (1993), 219–223  isi

Presentations in Math-Net.Ru
1. Математика как критерий нравственности
A.M. Shelekhov
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 16, 2023 15:55   
2. Элементарное доказательство теоремы Понселе о бицентрических многоугольниках
A.M. Shelekhov
Differential geometry and applications
March 18, 2019 16:45
3. О фрактальных конструкциях на криволинейной три-ткани
A.M. Shelekhov
Differential geometry and applications
February 25, 2019 16:45
4. Классификация три-тканей Бола с ковариантно постоянным тензором кривизны
A. M. Shelekhov
Differential geometry and applications
October 1, 2018 16:45
5. О некоторых задачах теории криволинейных три-тканей
A. M. Shelekhov
Differential geometry and applications
September 10, 2018 16:45
6. Solution of the Gronwall problem on equivalence of Grassmann three-webs
A. M. Shelekhov
Differential geometry and applications
February 20, 2012 16:45
7. Геометрия гладких группоидов
G. A. Tolstikhina, A. M. Shelekhov
Lie groups and invariant theory
April 13, 2005 16:20

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