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Burago, Yuriy Dmitrievich
Professor
Doctor of physico-mathematical sciences (1969)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 21.06.1936
E-mail: ,
Keywords: convex bodies and surfaces; singular submanifolds; Riemannian manifolds; Alexandrov spaces.
   
Main publications:
  • Isoperimetric inequalities in the theory of surfaces of bounded external curvature // Semin. Math. Steklov Math.Inst., Leningr., Consult. Bureau: N. Y. 10, 1968 (Transl. from Zap. Nauchn. Semin. LOMI, 10, 1968, 3–204, Zbl. 198, 550).
  • Geometric inequalities // Springer–Verlag, 1989 (in ser.: Grundlehren der Math. Wissenschaften 285); jointly with V. Zalgaller.
  • Metrics of curvature bounded above on 2–polyhedra. II // St. Petersburg Math. J. 10:4(1998), 62–112, jointly with S. Buyalo.
  • A Course in Metric Geometry. GSM, v, 33, 2001, IX + 415 pages, jointly with D. Burago and S. Ivanov.

https://www.mathnet.ru/eng/person11320
https://ru.wikipedia.org/wiki/Burago,_Yurii_Dmitrievich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/225776

Publications in Math-Net.Ru Citations
2010
1. Yu. D. Burago, N. N. Kosovskiĭ, “The trace of $BV$-functions on an irregular subset”, Algebra i Analiz, 22:2 (2010),  105–126  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:2 (2011), 251–266  isi  scopus 5
2008
2. Yu. D. Burago, S. G. Malev, D. I. Novikov, “A direct proof of Gromov's theorem”, Zap. Nauchn. Sem. POMI, 353 (2008),  14–26  mathnet  zmath; J. Math. Sci. (N. Y.), 161:3 (2009), 361–367  scopus 1
2005
3. Yu. D. Burago, S. V. Ivanov, S. G. Malev, “Remarks on Chebyshev coordinates”, Zap. Nauchn. Sem. POMI, 329 (2005),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:4 (2007), 497–501  scopus 7
2004
4. Yu. Burago, “Bilipschitz equivalent Aleksandrov srfaces. II”, Algebra i Analiz, 16:6 (2004),  28–52  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:6 (2005), 943–960 5
5. A. S. Belen'kii, Yu. D. Burago, “Bi-Lipschitz-equivalent Aleksandrov surfaces. I”, Algebra i Analiz, 16:4 (2004),  24–40  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:4 (2005), 627–638 5
1998
6. Yu. D. Burago, S. V. Buyalo, “Metrics with upper-bounded curvature on $2$-polyhedra. II”, Algebra i Analiz, 10:4 (1998),  62–112  mathnet  mathscinet  zmath; St. Petersburg Math. J., 10:4 (1999), 619–650 6
1996
7. Yu. D. Burago, B. V. Kalinin, “Smoothness and singularities of convex hypersurfaces”, Algebra i Analiz, 8:3 (1996),  39–55  mathnet  mathscinet  zmath; St. Petersburg Math. J., 8:3 (1997), 399–411 3
1995
8. Yu. D. Burago, V. A. Zalgaller, “Isometric piecewise-linear embeddings of two-dimensional manifolds with a polyhedral metric into $\mathbb R^3$”, Algebra i Analiz, 7:3 (1995),  76–95  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:3 (1996), 369–385 25
9. Yu. D. Burago, B. V. Kalinin, “A remark on Newman's theorem”, Sibirsk. Mat. Zh., 36:5 (1995),  1010–1014  mathnet  mathscinet  zmath; Siberian Math. J., 36:5 (1995), 869–872  isi
1992
10. Yu. D. Burago, M. L. Gromov, G. Ya. Perel'man, “A. D. Alexandrov spaces with curvature bounded below”, Uspekhi Mat. Nauk, 47:2(284) (1992),  3–51  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:2 (1992), 1–58  isi 207
1989
11. Yu. D. Burago, “Geometry of surfaces in Euclidean spaces”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 48 (1989),  5–97  mathnet  mathscinet  zmath; Encyclopaedia Math. Sci., 48 (1992), 1–85 18
1985
12. N. G. Ananov, Yu. D. Burago, V. A. Zalgaller, “Three-dimensional manifolds of nonnegative Ricci curvature, with boundary”, Mat. Sb. (N.S.), 128(170):2(10) (1985),  169–193  mathnet  mathscinet  zmath; Math. USSR-Sb., 56:1 (1987), 163–186
1980
13. Yu. D. Burago, “Certain inequalities for mean curvature, area, and volume in a Riemannian manifold”, Mat. Zametki, 28:1 (1980),  103–112  mathnet  mathscinet  zmath; Math. Notes, 28:1 (1980), 516–521  isi
14. Yu. D. Burago, “Surfaces with a given curvature measure”, Sibirsk. Mat. Zh., 21:6 (1980),  153–155  mathnet  mathscinet  zmath; Siberian Math. J., 21:6 (1980), 865–867  isi
1977
15. Yu. D. Burago, V. A. Zalgaller, “Convex sets in Riemannian spaces of non-negative curvature”, Uspekhi Mat. Nauk, 32:3(195) (1977),  3–55  mathnet  mathscinet  zmath; Russian Math. Surveys, 32:3 (1977), 1–57 16
1976
16. Yu. D. Burago, “Three-dimensional open Riemannian space of nonnegative curvature”, Zap. Nauchn. Sem. LOMI, 66 (1976),  103–113  mathnet  mathscinet  zmath; J. Soviet Math., 12:1 (1979), 65–72 3
1974
17. Yu. D. Burago, “On a theorem of Ju. A. Aminov”, Zap. Nauchn. Sem. LOMI, 45 (1974),  53–55  mathnet  mathscinet  zmath
18. Yu. D. Burago, V. A. Zalgaller, “Sufficient conditions for convexity”, Zap. Nauchn. Sem. LOMI, 45 (1974),  3–52  mathnet  mathscinet  zmath 8
1973
19. Yu. D. Burago, V. A. Toponogov, “On three-dimensional Riemannian spaces with curvature bounded above”, Mat. Zametki, 13:6 (1973),  881–887  mathnet  mathscinet  zmath; Math. Notes, 13:6 (1973), 526–530 5
20. Yu. D. Burago, “A remark on isoperimetric inequalities on two-dimensional surfaces”, Sibirsk. Mat. Zh., 14:3 (1973),  666–668  mathnet  mathscinet  zmath; Siberian Math. J., 14:3 (1973), 463–465 3
1971
21. Yu. D. Burago, “An estimate from below for the spatial diameter of a surface in terms of its intrinsic radius and curvature”, Mat. Sb. (N.S.), 86(128):3(11) (1971),  409–418  mathnet  mathscinet  zmath; Math. USSR-Sb., 15:3 (1971), 405–414 2
1969
22. Yu. D. Burago, “Mutual limitations of the curvature and area of a surface which lies inside a ball of fixed diameter”, Sibirsk. Mat. Zh., 10:4 (1969),  833–859  mathnet  mathscinet  zmath; Siberian Math. J., 10:4 (1969), 611–630
1968
23. Yu. D. Burago, S. Z. Shefel', “Nonregular surfaces of bounded outer curvature and isoperimetric type inequalities”, Dokl. Akad. Nauk SSSR, 182:5 (1968),  997–999  mathnet  mathscinet  zmath 1
24. Yu. D. Burago, “Mutual restrictions of curvature and area for surfaces lying in a compact part of space”, Dokl. Akad. Nauk SSSR, 179:5 (1968),  1027–1028  mathnet  mathscinet  zmath
25. Yu. D. Burago, “Isoperimetric type inequalities in the theory of surfaces of bounded exterior curvature”, Zap. Nauchn. Sem. LOMI, 10 (1968),  3–202  mathnet  mathscinet  zmath 2
1967
26. Yu. D. Burago, V. G. Maz'ya, “Certain questions of potential theory and function theory for regions with irregular boundaries”, Zap. Nauchn. Sem. LOMI, 3 (1967),  3–152  mathnet  mathscinet  zmath 3
1965
27. Yu. D. Burago, “The closure of a class of manifolds with bounded curavature”, Trudy Mat. Inst. Steklov., 76 (1965),  141–147  mathnet  mathscinet  zmath
28. Yu. D. Burago, “On proportional approximation of a metric”, Trudy Mat. Inst. Steklov., 76 (1965),  120–123  mathnet  mathscinet  zmath 1
29. Yu. D. Burago, M. B. Stratilatova, “A circumference on a surface”, Trudy Mat. Inst. Steklov., 76 (1965),  88–114  mathnet  mathscinet  zmath 1
30. Yu. D. Burago, V. A. Zalgaller, “The isoperimetric problem in the case of limitation of the width of a domain on a surface”, Trudy Mat. Inst. Steklov., 76 (1965),  81–87  mathnet  mathscinet 2
31. A. D. Aleksandrov, Yu. D. Burago, “Quasigeodesic lines”, Trudy Mat. Inst. Steklov., 76 (1965),  49–63  mathnet  mathscinet  zmath
32. Yu. D. Burago, “Curves in convergent spaces”, Trudy Mat. Inst. Steklov., 76 (1965),  5–25  mathnet  mathscinet  zmath
1962
33. Yu. D. Burago, V. G. Maz'ya, V. D. Sapozhnikova, “On the potential of a double layer for non-regular domains”, Dokl. Akad. Nauk SSSR, 147:3 (1962),  523–525  mathnet  mathscinet  zmath 1
1961
34. Yu. D. Burago, “Задача о круге Юнга для сферы”, Mat. Pros., Ser. 2, 6 (1961),  165–170  mathnet
1960
35. Yu. D. Burago, “Realization of a metrized two-dimensional manifold by a surface in $E^3$”, Dokl. Akad. Nauk SSSR, 135:6 (1960),  1301–1302  mathnet  mathscinet  zmath
2021
36. D. Yu. Burago, Yu. D. Burago, A. L. Verner, A. M. Vershik, M. L. Gromov, I. A. Ibragimov, S. V. Ivanov, S. V. Kislyakov, S. S. Kutateladze, A. A. Lodkin, Yu. V. Matiyasevich, N. E. Mnev, A. I. Nazarov, G. Yu. Panina, Yu. G. Reshetnyak, V. A. Rizhik, N. N. Uraltseva, Ya. M. Eliashberg, “Viktor Abramovich Zalgaller (obituary)”, Uspekhi Mat. Nauk, 76:5(461) (2021),  195–198  mathnet  mathscinet  zmath; Russian Math. Surveys, 76:5 (2021), 927–931  isi
2008
37. M. S. Agranovich, Yu. D. Burago, B. R. Vainberg, M. I. Vishik, S. G. Gindikin, V. A. Kondrat'ev, V. P. Maslov, S. V. Poborchi, Yu. G. Reshetnyak, V. P. Khavin, M. A. Shubin, “Vladimir Gilelevich Maz'ya (to his 70th brithday)”, Uspekhi Mat. Nauk, 63:1(379) (2008),  183–189  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:1 (2008), 189–196  isi 2
2006
38. V. A. Aleksandrov, A. A. Borisenko, Yu. F. Borisov, Yu. D. Burago, V. V. Vershinin, E. P. Volokitin, L. I. Kononenko, S. S. Kutateladze, Yu. G. Reshetnyak, E. D. Rodionov, A. S. Romanov, S. A. Treskov, V. A. Sharafutdinov, “Viktor Andreevich Toponogov (obituary)”, Uspekhi Mat. Nauk, 61:2(368) (2006),  153–156  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 61:2 (2006), 341–345  isi 2
2001
39. V. A. Aleksandrov, Yu. F. Borisov, Yu. D. Burago, A. L. Verner, S. S. Kutateladze, Yu. G. Reshetnyak, “Viktor Abramovich Zalgaller (on his 80th birthday)”, Uspekhi Mat. Nauk, 56:5(341) (2001),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:5 (2001), 1013–1014  isi 1
40. Yu. D. Burago, A. M. Vershik, I. A. Ibragimov, G. A. Leonov, N. Yu. Netsvetaev, A. V. Pogorelov, Yu. G. Reshetnyak, “Viktor Abramovich Zalgaller. To the 80th anniversary”, Zap. Nauchn. Sem. POMI, 280 (2001),  7–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 119:2 (2004), 129–132
1992
41. Yu. F. Borisov, Yu. E. Borovskii, Yu. D. Burago, A. M. Vershik, N. A. Gromov, A. V. Levichev, V. I. Man'ko, Yu. G. Reshetnyak, “Revol't Ivanovich Pimenov (obituary)”, Uspekhi Mat. Nauk, 47:1(283) (1992),  203–204  mathnet  mathscinet; Russian Math. Surveys, 47:1 (1992), 253–254  isi
1981
42. Yu. D. Burago, V. A. Zalgaller, “Correction to the book “Geometric inequalities””, Zap. Nauchn. Sem. LOMI, 110 (1981),  235–236  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Ю. Д. Бураго о В. А. Залгаллере
Yu. D. Burago
December 26, 2010   

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