# zbMATH — the first resource for mathematics

Compute Distance To:
 Author ID: gorbatsevich.vladimir-v Published as: Gorbatsevich, V.; Gorbatsevich, V. V.; Gorbatsevich, Vladimir V.
 Documents Indexed: 112 Publications since 1971, including 2 Books Reviewing Activity: 164 Reviews
all top 5

#### Co-Authors

 75 single-authored 6 Vinberg, Èrnest Borisovich 5 Onishchik, Arkady L’vovich 2 Akhiezer, Dmitriĭ Naumovich 1 Kazarin, Lev S. 1 Leites, Dimitry A. 1 Lukatsky, Alexander M. 1 Shchetinin, A. N. 1 Shvartsman, O. V.
all top 5

#### Serials

 12 Mathematical Notes 8 Siberian Mathematical Journal 6 Russian Mathematical Surveys 5 Sibirskiĭ Matematicheskiĭ Zhurnal 4 Soviet Mathematics. Doklady 4 Soviet Mathematics 4 Izvestiya: Mathematics 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 3 Sbornik: Mathematics 2 Matematicheskie Zametki 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Mathematics of the USSR. Izvestiya 2 Russian Mathematics 2 Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Matematika 2 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Transactions of the Moscow Mathematical Society 1 Selecta Mathematica Sovietica 1 Annals of Global Analysis and Geometry 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal of Mathematical Sciences (New York) 1 Encyclopaedia of Mathematical Sciences 1 Voprosy Teorii Grupp i Gomologicheskoĭ Algebry
all top 5

#### Fields

 52 Differential geometry (53-XX) 49 Manifolds and cell complexes (57-XX) 40 Topological groups, Lie groups (22-XX) 18 Algebraic topology (55-XX) 14 Nonassociative rings and algebras (17-XX) 5 Group theory and generalizations (20-XX) 3 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

64 Publications have been cited 429 times in 333 Documents Cited by Year
Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001
Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V.
1994
Foundations of Lie theory and Lie transformation groups. Transl. from the Russian by A. Kozlowski. 2nd printing of the 1st ed. 1993. Zbl 0999.17500
Gorbatsevich, V. V. (ed.); Onishchik, A. L. (ed.); Vinberg, E. B. (ed.)
1997
Structure of Lie groups and algebras. Zbl 0733.22003
Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L.
1990
Discrete subgroups of Lie groups. Zbl 0656.22004
Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V.
1988
Lie groups of transformations. Zbl 0656.22003
Gorbatsevich, V. V.; Onishchik, A. L.
1988
Three-dimensional homogeneous spaces. Zbl 0411.14015
Gorbatsevich, V. V.
1977
On contractions and degeneracy of finite-dimensional algebras. Zbl 0753.17002
Gorbatsevich, V. V.
1991
Lie transformation groups. Zbl 0781.22004
Gorbatsevich, V. V.; Onishchik, A. L.
1988
Plesiocompact homogeneous spaces. Zbl 0705.22005
Gorbatsevich, V. V.
1989
Splits of Lie groups and their application to the investigation of homogeneous spaces. Zbl 0424.22006
Gorbatsevich, V. V.
1979
The construction of a simply connected Lie group with a given Lie algebra. Zbl 0613.22005
Gorbatsevich, V. V.
1986
On the structure of compact homogeneous spaces. Zbl 0456.57014
Gorbatsevich, V. V.
1979
On liezation of the Leibniz algebras and its applications. Zbl 1377.17002
Gorbatsevich, V. V.
2016
Invariant intrinsic Finsler metrics on homogeneous spaces and strong subalgebras of Lie algebras. Zbl 1164.53393
Gorbatsevich, V. V.
2008
Symplectic structures and cohomologies on some solvmanifolds. Zbl 1054.53084
Gorbatsevich, V. V.
2003
On the level of some solvable Lie algebras. Zbl 0919.17007
Gorbatsevich, V. V.
1998
On a fibration of compact homogeneous spaces. Zbl 0525.57034
Gorbatsevich, V. V.
1981
Two fibrations of a compact homogeneous space and some applications. Zbl 0492.57013
Gorbatsevich, V. V.
1981
Splittings of Lie groups and their application to the study of homogeneous spaces. Zbl 0453.22006
Gorbatsevich, V. V.
1980
On algebraic Anosov diffeomorphisms on nilmanifolds. Zbl 1097.37016
Gorbatsevich, V. V.
2004
Compact aspherical homogeneous spaces up to a finite covering. Zbl 0535.57024
Gorbatsevich, V. V.
1983
On compact homogeneous spaces with semi-simple fundamental group. Zbl 0486.57019
Gorbatsevich, V. V.
1981
Classification of complex simply connected homogeneous spaces of dimension not greater than 2. Zbl 1271.22022
Gorbatsevich, V. V.
2013
Compact solvmanifolds of dimension at most 4. Zbl 1224.57018
Gorbatsevich, V. V.
2009
Some properties of the space of $$n$$-dimensional Lie algebras. Zbl 1203.17002
Gorbatsevich, V. V.
2009
Compact homogeneous spaces and their generalizations. Zbl 1171.53037
Gorbatsevich, V. V.
2008
On the properties of plesio-uniform subgroups in Lie groups. Zbl 0989.22014
Gorbatsevich, V. V.
2001
On the envelopes of Abelian subgroups in connected Lie groups. Zbl 0905.22007
Gorbatsevich, V. V.
1996
On the double normalizer of the stable subalgebra of a plesiocompact homogeneous space. Zbl 0832.22011
Gorbatsevich, V. V.
1993
Anticommutative finite-dimensional algebras of the first three complexity levels. Zbl 0822.17039
Gorbatsevich, V. V.
1993
Structure of homogeneous spaces with finite invariant measure. Zbl 0744.43007
Gorbatsevich, V. V.
1991
On Lie groups with lattices and their properties. Zbl 0619.22014
Gorbatsevich, V. V.
1986
Modifications of transitive actions of Lie groups on compact manifolds and their applications. Zbl 0506.57022
Gorbatsevich, V. V.
1981
On compact homogeneous spaces of dimension 5 and higher. Zbl 0463.57013
Gorbatsevich, V. V.
1978
Dual and almost-dual homogeneous spaces. Zbl 1412.30139
Gorbatsevich, V. V.
2019
Compact homogeneous spaces of reductive Lie groups and spaces close to them. Zbl 1377.53069
2016
Homogeneous spaces with inner metric and with integrable invariant distributions. Zbl 1316.53035
Berestovskii, V. N.; Gorbatsevich, V. V.
2014
On the frames of spaces of finite-dimensional Lie algebras of dimension at most 6. Zbl 1361.17010
Gorbatsevich, V. V.
2014
Sub-Riemannian geometries on compact homogeneous spaces. Zbl 1325.53040
Gorbatsevich, V. V.
2014
On the intersection of irreducible components of the space of finite-dimensional Lie algebras. Zbl 1254.22011
Gorbatsevich, V. V.
2012
Compact homogeneous manifolds of dimension at most 7 up to a finite covering. Zbl 1258.53049
Gorbatsevich, V. V.
2012
Tensor products of algebras and their applications to the construction of Anosov diffeomorphisms. Zbl 1148.53308
Gorbatsevich, V. V.
2007
Connected sums of compact manifolds and homogeneity. Zbl 1079.22021
Gorbatsevich, V.
2005
Arkadii L’vovich Onishchik (on the occasion of his seventieth birthday). Zbl 1050.01508
Akhiezer, D. N.; Vinberg, È. B.; Gorbatsevich, V. V.; et al.
2003
On isometries of some Riemannian Lie groups. Zbl 1038.53048
Gorbatsevich, V. V.
2002
Isometry groups of solvable and nilpotent Lie groups. Zbl 1018.22005
2002
On the triviality of natural bundles of some compact homogeneous spaces. Zbl 0963.53025
Gorbatsevich, V. V.
2000
Thurston geometries on bases of bundles of homogeneous spaces. Zbl 0976.53055
Gorbatsevich, V. V.
1999
A Seifert bundle for a plesiocompact homogeneous space. Zbl 0885.53052
Gorbatsevich, V. V.
1996
On invariant geometric structures on some compact homogeneous manifolds. Zbl 0977.53047
Gorbatsevich, V. V.
1995
Anticommutative, finite-dimensional algebras of the first three complexity levels. Zbl 0798.17021
Gorbatsevich, V. V.
1993
On some cohomology invariants of compact homogeneous manifolds. Zbl 0752.57018
Gorbatsevich, V. V.
1992
On compact homogeneous spaces with the solvable fundamental group. IV. Zbl 0826.57015
Gorbatsevich, V. V.
1991
On cohomologies of compact homogeneous spaces with the discrete isotropy subgroup. Zbl 0755.57020
Gorbatsevich, V. V.
1990
On some classes of homogeneous spaces close to compact. Zbl 0703.22006
Gorbatsevich, V. V.
1989
On the curvature of Riemannian metrics on compact homogeneous manifolds. Zbl 0645.53025
Gorbatsevich, V. V.
1988
A criterion for the existence of a natural fibre bundle for a compact homogeneous manifold. Zbl 0549.57023
Gorbatsevich, V. V.
1984
On a class of compact homogeneous spaces. Zbl 0564.57019
Gorbatsevich, V. V.
1983
Compact homogeneous spaces with semisimple fundamental group. Zbl 0513.57020
Gorbatsevich, V. V.
1981
On compact homogeneous spaces with solvable fundamental group. I. Zbl 0499.57015
Gorbatsevich, V. V.
1981
On the topological structure of compact homogeneous spaces with solvable fundamental group. Zbl 0486.57020
Gorbatsevich, V. V.
1981
On compact homogeneous manifolds of low dimension. Zbl 0475.53043
Gorbatsevich, V. V.
1980
The topological structure of compact homogeneous manifolds. Zbl 0459.57013
Gorbatsevich, V. V.
1980
Discrete subgroups of solvable Lie groups of type (E). Zbl 0229.22019
Gorbatsevich, V. V.
1971
Dual and almost-dual homogeneous spaces. Zbl 1412.30139
Gorbatsevich, V. V.
2019
On liezation of the Leibniz algebras and its applications. Zbl 1377.17002
Gorbatsevich, V. V.
2016
Compact homogeneous spaces of reductive Lie groups and spaces close to them. Zbl 1377.53069
2016
Homogeneous spaces with inner metric and with integrable invariant distributions. Zbl 1316.53035
Berestovskii, V. N.; Gorbatsevich, V. V.
2014
On the frames of spaces of finite-dimensional Lie algebras of dimension at most 6. Zbl 1361.17010
Gorbatsevich, V. V.
2014
Sub-Riemannian geometries on compact homogeneous spaces. Zbl 1325.53040
Gorbatsevich, V. V.
2014
Classification of complex simply connected homogeneous spaces of dimension not greater than 2. Zbl 1271.22022
Gorbatsevich, V. V.
2013
On the intersection of irreducible components of the space of finite-dimensional Lie algebras. Zbl 1254.22011
Gorbatsevich, V. V.
2012
Compact homogeneous manifolds of dimension at most 7 up to a finite covering. Zbl 1258.53049
Gorbatsevich, V. V.
2012
Compact solvmanifolds of dimension at most 4. Zbl 1224.57018
Gorbatsevich, V. V.
2009
Some properties of the space of $$n$$-dimensional Lie algebras. Zbl 1203.17002
Gorbatsevich, V. V.
2009
Invariant intrinsic Finsler metrics on homogeneous spaces and strong subalgebras of Lie algebras. Zbl 1164.53393
Gorbatsevich, V. V.
2008
Compact homogeneous spaces and their generalizations. Zbl 1171.53037
Gorbatsevich, V. V.
2008
Tensor products of algebras and their applications to the construction of Anosov diffeomorphisms. Zbl 1148.53308
Gorbatsevich, V. V.
2007
Connected sums of compact manifolds and homogeneity. Zbl 1079.22021
Gorbatsevich, V.
2005
On algebraic Anosov diffeomorphisms on nilmanifolds. Zbl 1097.37016
Gorbatsevich, V. V.
2004
Symplectic structures and cohomologies on some solvmanifolds. Zbl 1054.53084
Gorbatsevich, V. V.
2003
Arkadii L’vovich Onishchik (on the occasion of his seventieth birthday). Zbl 1050.01508
Akhiezer, D. N.; Vinberg, È. B.; Gorbatsevich, V. V.; et al.
2003
On isometries of some Riemannian Lie groups. Zbl 1038.53048
Gorbatsevich, V. V.
2002
Isometry groups of solvable and nilpotent Lie groups. Zbl 1018.22005
2002
On the properties of plesio-uniform subgroups in Lie groups. Zbl 0989.22014
Gorbatsevich, V. V.
2001
On the triviality of natural bundles of some compact homogeneous spaces. Zbl 0963.53025
Gorbatsevich, V. V.
2000
Thurston geometries on bases of bundles of homogeneous spaces. Zbl 0976.53055
Gorbatsevich, V. V.
1999
On the level of some solvable Lie algebras. Zbl 0919.17007
Gorbatsevich, V. V.
1998
Foundations of Lie theory and Lie transformation groups. Transl. from the Russian by A. Kozlowski. 2nd printing of the 1st ed. 1993. Zbl 0999.17500
Gorbatsevich, V. V. (ed.); Onishchik, A. L. (ed.); Vinberg, E. B. (ed.)
1997
On the envelopes of Abelian subgroups in connected Lie groups. Zbl 0905.22007
Gorbatsevich, V. V.
1996
A Seifert bundle for a plesiocompact homogeneous space. Zbl 0885.53052
Gorbatsevich, V. V.
1996
On invariant geometric structures on some compact homogeneous manifolds. Zbl 0977.53047
Gorbatsevich, V. V.
1995
Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin. Zbl 0797.22001
Onishchik, A. L.; Vinberg, E. B.; Gorbatsevich, V. V.
1994
On the double normalizer of the stable subalgebra of a plesiocompact homogeneous space. Zbl 0832.22011
Gorbatsevich, V. V.
1993
Anticommutative finite-dimensional algebras of the first three complexity levels. Zbl 0822.17039
Gorbatsevich, V. V.
1993
Anticommutative, finite-dimensional algebras of the first three complexity levels. Zbl 0798.17021
Gorbatsevich, V. V.
1993
On some cohomology invariants of compact homogeneous manifolds. Zbl 0752.57018
Gorbatsevich, V. V.
1992
On contractions and degeneracy of finite-dimensional algebras. Zbl 0753.17002
Gorbatsevich, V. V.
1991
Structure of homogeneous spaces with finite invariant measure. Zbl 0744.43007
Gorbatsevich, V. V.
1991
On compact homogeneous spaces with the solvable fundamental group. IV. Zbl 0826.57015
Gorbatsevich, V. V.
1991
Structure of Lie groups and algebras. Zbl 0733.22003
Vinberg, Eh. B.; Gorbatsevich, V. V.; Onishchik, A. L.
1990
On cohomologies of compact homogeneous spaces with the discrete isotropy subgroup. Zbl 0755.57020
Gorbatsevich, V. V.
1990
Plesiocompact homogeneous spaces. Zbl 0705.22005
Gorbatsevich, V. V.
1989
On some classes of homogeneous spaces close to compact. Zbl 0703.22006
Gorbatsevich, V. V.
1989
Discrete subgroups of Lie groups. Zbl 0656.22004
Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V.
1988
Lie groups of transformations. Zbl 0656.22003
Gorbatsevich, V. V.; Onishchik, A. L.
1988
Lie transformation groups. Zbl 0781.22004
Gorbatsevich, V. V.; Onishchik, A. L.
1988
On the curvature of Riemannian metrics on compact homogeneous manifolds. Zbl 0645.53025
Gorbatsevich, V. V.
1988
The construction of a simply connected Lie group with a given Lie algebra. Zbl 0613.22005
Gorbatsevich, V. V.
1986
On Lie groups with lattices and their properties. Zbl 0619.22014
Gorbatsevich, V. V.
1986
A criterion for the existence of a natural fibre bundle for a compact homogeneous manifold. Zbl 0549.57023
Gorbatsevich, V. V.
1984
Compact aspherical homogeneous spaces up to a finite covering. Zbl 0535.57024
Gorbatsevich, V. V.
1983
On a class of compact homogeneous spaces. Zbl 0564.57019
Gorbatsevich, V. V.
1983
On a fibration of compact homogeneous spaces. Zbl 0525.57034
Gorbatsevich, V. V.
1981
Two fibrations of a compact homogeneous space and some applications. Zbl 0492.57013
Gorbatsevich, V. V.
1981
On compact homogeneous spaces with semi-simple fundamental group. Zbl 0486.57019
Gorbatsevich, V. V.
1981
Modifications of transitive actions of Lie groups on compact manifolds and their applications. Zbl 0506.57022
Gorbatsevich, V. V.
1981
Compact homogeneous spaces with semisimple fundamental group. Zbl 0513.57020
Gorbatsevich, V. V.
1981
On compact homogeneous spaces with solvable fundamental group. I. Zbl 0499.57015
Gorbatsevich, V. V.
1981
On the topological structure of compact homogeneous spaces with solvable fundamental group. Zbl 0486.57020
Gorbatsevich, V. V.
1981
Splittings of Lie groups and their application to the study of homogeneous spaces. Zbl 0453.22006
Gorbatsevich, V. V.
1980
On compact homogeneous manifolds of low dimension. Zbl 0475.53043
Gorbatsevich, V. V.
1980
The topological structure of compact homogeneous manifolds. Zbl 0459.57013
Gorbatsevich, V. V.
1980
Splits of Lie groups and their application to the investigation of homogeneous spaces. Zbl 0424.22006
Gorbatsevich, V. V.
1979
On the structure of compact homogeneous spaces. Zbl 0456.57014
Gorbatsevich, V. V.
1979
On compact homogeneous spaces of dimension 5 and higher. Zbl 0463.57013
Gorbatsevich, V. V.
1978
Three-dimensional homogeneous spaces. Zbl 0411.14015
Gorbatsevich, V. V.
1977
Discrete subgroups of solvable Lie groups of type (E). Zbl 0229.22019
Gorbatsevich, V. V.
1971
all top 5