Gorbatsevich Vladimir Vitalyevich

Publications in Math-Net.Ru

1. On lattices in Lie groups of general type and some applications
   
   Izv. RAN. Ser. Mat., 89:4 (2025),  32–53
2. On low dimensional bases of natural bundles for compact homogeneous spaces
   
   Izv. RAN. Ser. Mat., 88:6 (2024),  118–138
3. On decompositions and transitive actions of nilpotent Lie groups
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 4,  3–14
4. On the fibre structure of compact homogeneous spaces
   
   Izv. RAN. Ser. Mat., 87:6 (2023),  49–75
5. On Some Classes of Bases in Finite-Dimensional Lie Algebras
   
   Mat. Zametki, 114:2 (2023),  203–211
6. On maximal extensions of nilpotent Lie algebras
   
   Funktsional. Anal. i Prilozhen., 56:4 (2022),  25–34
7. Foundations of Lie theory for $\mathcal E$-structures and some of its applications
   
   Izv. RAN. Ser. Mat., 86:2 (2022),  34–61
8. Isomorphism and diffeomorphism of semisimple Lie Groups
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3,  3–12
9. On the Isomorphism and Diffeomorphism of Compact Semisimple Lie Groups
   
   Mat. Zametki, 112:3 (2022),  384–390
10. On the Killing form on Lie algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 4,  48–68
11. Some Properties of Homogeneous $\mathcal E$-Manifolds
    
    Mat. Zametki, 109:5 (2021),  691–704
12. Locally transitive analytic actions of Lie groups on compact surfaces
    
    Mat. Sb., 212:4 (2021),  45–75
13. Polynomial realizations of finite-dimensional Lie algebras
    
    Funktsional. Anal. i Prilozhen., 54:2 (2020),  25–34
14. Letter to the editors
    
    Izv. RAN. Ser. Mat., 84:6 (2020),  223
15. On the topology of non-compact simply connected homogeneous manifolds
    
    Izv. RAN. Ser. Mat., 84:5 (2020),  20–39
16. Some properties of almost abelian Lie algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 4,  26–42
17. Computational Experiments with Nilpotent Lie Algebras
    
    Mat. Zametki, 107:1 (2020),  23–31
18. Dual and almost-dual homogeneous spaces
    
    Izv. RAN. Ser. Mat., 83:1 (2019),  25–58
19. On stationary subgroups of compact homogeneous spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 4,  36–51
20. Foundations of a theory of dual Lie algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 4,  33–48
21. Extension of transitive actions of Lie groups
    
    Izv. RAN. Ser. Mat., 81:6 (2017),  86–99
22. Lie Algebras with Abelian Centralizers
    
    Mat. Zametki, 101:5 (2017),  690–699
23. On geometry of solutions to approximate equations and their symmetries
    
    Ufimsk. Mat. Zh., 9:2 (2017),  40–55
24. On the homotopy structure of compact complex homogeneous manifolds
    
    Izv. RAN. Ser. Mat., 80:2 (2016),  47–62
25. On liezation of the Leibniz algebras and its applications
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4,  14–22
26. Compact homogeneous spaces of reductive Lie groups and spaces close to them
    
    Mat. Sb., 207:3 (2016),  31–46
27. The automorphism groups of compact homogeneous spaces
    
    Sibirsk. Mat. Zh., 57:4 (2016),  721–745
28. On the maximal finite-dimensional Lie algebras with given nilradical
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2,  35–44
29. Nilpotent sums of lie algebras, and applications
    
    Sibirsk. Mat. Zh., 56:2 (2015),  351–367
30. Sub-Riemannian geometries on compact homogeneous spaces
    
    Izv. RAN. Ser. Mat., 78:3 (2014),  35–52
31. On Invariant Sub-Riemannian Structures on Compact Homogeneous Spaces with Discrete Stationary Subgroup
    
    Mat. Zametki, 95:6 (2014),  821–829
32. On the frames of spaces of finite-dimensional Lie algebras of dimension at most 6
    
    Mat. Sb., 205:5 (2014),  23–36
33. Classification of complex simply connected homogeneous spaces of dimensions not greater than 2
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3,  16–32
34. Invariant distributions on compact homogeneous spaces
    
    Mat. Sb., 204:12 (2013),  15–30
35. On quasicompact homogeneous spaces
    
    Sibirsk. Mat. Zh., 54:2 (2013),  303–319
36. Compact homogeneous manifolds of dimension at most 7 up to a finite covering
    
    Izv. RAN. Ser. Mat., 76:4 (2012),  27–40
37. On Compact Aspherical Homogeneous Manifolds of Dimension $\le7$
    
    Mat. Zametki, 92:2 (2012),  202–215
38. On the intersection of irreducible components of the space of finite-dimensional Lie algebras
    
    Mat. Sb., 203:7 (2012),  57–78
39. Real subalgebras in the matrix Lie algebra $M(2,\mathbf C)$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 8,  30–35
40. On Diverse Forms of Homogeneity of Lie Algebras
    
    Mat. Zametki, 88:2 (2010),  178–192
41. Some properties of the space of $n$-dimensional Lie algebras
    
    Mat. Sb., 200:2 (2009),  31–60
42. Compact solvmanifolds of dimension at most 4
    
    Sibirsk. Mat. Zh., 50:2 (2009),  300–319
43. Stable Cohomology of Compact Homogeneous Spaces
    
    Mat. Zametki, 83:6 (2008),  803–814
44. Invariant intrinsic Finsler metrics on homogeneous spaces and strong subalgebras of Lie algebras
    
    Sibirsk. Mat. Zh., 49:1 (2008),  43–60
45. Compact Homogeneous Spaces and Their Generalizations
    
    CMFD, 22 (2007),  38–72
46. On the topology of the natural bundle for compact homogeneous spaces
    
    Izv. RAN. Ser. Mat., 71:3 (2007),  15–44
47. Tensor Products of Algebras and Their Applications to the Construction of Anosov Diffeomorphisms
    
    Mat. Zametki, 82:6 (2007),  811–821
48. Transitive Lie groups on $S^1\times S^{2m}$
    
    Mat. Sb., 198:9 (2007),  43–58
49. Antinilpotent Lie Algebras
    
    Mat. Zametki, 78:6 (2005),  803–812
50. On algebraic Anosov diffeomorphisms on nilmanifolds
    
    Sibirsk. Mat. Zh., 45:5 (2004),  995–1021
51. Symplectic structures and cohomologies on some solvmanifolds
    
    Sibirsk. Mat. Zh., 44:2 (2003),  322–342
52. On isometries of some Riemannian Lie groups
    
    Izv. RAN. Ser. Mat., 66:4 (2002),  27–46
53. On the Properties of Plesio-Uniform Subgroups in Lie Groups
    
    Mat. Zametki, 69:3 (2001),  338–345
54. Transitive isometry groups of aspheric Riemannian manifolds
    
    Sibirsk. Mat. Zh., 42:6 (2001),  1244–1258
55. On the triviality of a natural fibration of some compact homogeneous spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 1,  15–19
56. Thurston geometries on bases of bundles of homogeneous spaces
    
    Izv. RAN. Ser. Mat., 63:4 (1999),  37–58
57. Quantitative aspect of the stabilization theorem
    
    Mat. Zametki, 64:5 (1998),  788–791
58. On the level of some solvable Lie algebras
    
    Sibirsk. Mat. Zh., 39:5 (1998),  1013–1027
59. On the envelopes of Abelian subgroups in connected Lie groups
    
    Mat. Zametki, 59:2 (1996),  200–210
60. A Seifert bundle for a plesiocompact homogeneous space
    
    Sibirsk. Mat. Zh., 37:2 (1996),  301–313
61. Anticommutative finite-dimensional algebras of the first three levels of complexity
    
    Algebra i Analiz, 5:3 (1993),  100–118
62. On the double normalizer of the stable subalgebra of a plesiocompact homogeneous space
    
    Sibirsk. Mat. Zh., 34:3 (1993),  62–69
63. Contractions and degenerations of finite-dimensional algebras
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 10,  19–27
64. The structure of homogeneous spaces with a finite invariant metric
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 7,  66–68
65. A completeness criterion of subgroups of finite covolume in a Lie group
    
    Mat. Zametki, 50:6 (1991),  52–56
66. Plesio-compact homogeneous spaces. II
    
    Sibirsk. Mat. Zh., 32:2 (1991),  13–25
67. Structure of Lie groups and Lie algebras
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 41 (1990),  5–253
68. Plesiocompact homogeneous spaces
    
    Sibirsk. Mat. Zh., 30:2 (1989),  61–72
69. Some classes of homogeneous spaces that are close to compact spaces
    
    Dokl. Akad. Nauk SSSR, 303:4 (1988),  785–788
70. Discrete subgroups of Lie groups
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 21 (1988),  5–120
71. Lie groups of transformations
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 20 (1988),  103–240
72. Curvature of a Riemannian metric on compact homogeneous manifolds
    
    Mat. Zametki, 43:2 (1988),  169–177
73. On the number of Lie groups containing uniform lattices isomorphic to a given group
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  517–533
74. On Lie groups that are transitive on compact three-dimensional forms of reductive Lie groups
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 6,  32–37
75. Lie groups with lattices and their properties
    
    Dokl. Akad. Nauk SSSR, 287:1 (1986),  33–37
76. The construction of a simply connected Lie group with a given Lie algebra
    
    Uspekhi Mat. Nauk, 41:3(249) (1986),  177–178
77. Compact homogeneous spaces with a semisimple fundamental group. II
    
    Sibirsk. Mat. Zh., 27:5 (1986),  38–49
78. A criterion for the existence of a natural fibering for a compact homogeneous manifold
    
    Mat. Zametki, 35:2 (1984),  277–285
79. A class of compact homogeneous spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 9,  18–21
80. Some homotopy properties of the natural fibration for compact homogeneous manifolds
    
    Dokl. Akad. Nauk SSSR, 264:3 (1982),  525–528
81. Two fibrations of a compact homogeneous space and some applications
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 6,  73–75
82. On a fibering of a compact homogeneous space
    
    Tr. Mosk. Mat. Obs., 43 (1981),  116–141
83. On the topological structure of compact homogeneous spaces with soluble fundamental group
    
    Uspekhi Mat. Nauk, 36:2(218) (1981),  181–182
84. Compact homogeneous spaces with a semisimple fundamental group
    
    Sibirsk. Mat. Zh., 22:1 (1981),  47–67
85. The topological structure of compact homogeneous manifolds
    
    Uspekhi Mat. Nauk, 35:3(213) (1980),  168–171
86. On the structure of compact homogeneous spaces
    
    Dokl. Akad. Nauk SSSR, 249:2 (1979),  274–277
87. Splittings of Lie groups and their application to the study of homogeneous spaces
    
    Izv. Akad. Nauk SSSR Ser. Mat., 43:6 (1979),  1227–1258
88. On topological properties of compact homogeneous spaces
    
    Dokl. Akad. Nauk SSSR, 239:5 (1978),  1033–1036
89. On compact homogeneous spaces of dimension 5 and higher
    
    Uspekhi Mat. Nauk, 33:3(201) (1978),  161–162
90. On Lie groups, transitive on compact solvmanifolds
    
    Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977),  285–307
91. The classification of four-dimensional compact homogeneous spaces
    
    Uspekhi Mat. Nauk, 32:2(194) (1977),  207–208
92. Three-dimensional homogeneous spaces
    
    Sibirsk. Mat. Zh., 18:2 (1977),  280–293
93. On aspherical homogeneous spaces
    
    Mat. Sb. (N.S.), 100(142):2(6) (1976),  248–265
94. On the classification of homogeneous spaces
    
    Dokl. Akad. Nauk SSSR, 216:5 (1974),  968–970
95. On a class of decompositions of semisimple Lie groups and algebras
    
    Mat. Sb. (N.S.), 95(137):2(10) (1974),  294–304
96. Generalized Lyapunov theorem on Mal'tsev manifolds
    
    Mat. Sb. (N.S.), 94(136):2(6) (1974),  163–177
97. Lattices in solvable Lie groups and deformations of homogeneous spaces
    
    Mat. Sb. (N.S.), 91(133):2(6) (1973),  234–252
98. Discrete subgroups of solvable Lie groups of type $(E)$
    
    Mat. Sb. (N.S.), 85(127):2(6) (1971),  238–255


99. Letter to the Editor
    
    Mat. Zametki, 115:1 (2024),  156
100. Arkadii L'vovich Onishchik (obituary)
     
     Uspekhi Mat. Nauk, 75:4(454) (2020),  195–206
101. Arkadii L'vovich Onishchik (on his 70th birthday)
     
     Uspekhi Mat. Nauk, 58:6(354) (2003),  193–200
102. Поправки к статье “О классификации однородных пространств” (ДАН, т. 216, № 5, 1974 г.)
     
     Dokl. Akad. Nauk SSSR, 220:3 (1975),  10