On the topology of non-compact simply connected homogeneous manifolds

DOI10.1070/IM8922zbMath1475.57040OpenAlexW2994928079MaRDI QIDQ5135763

V. V. Gorbatsevich

Publication date: 23 November 2020

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8922

zbMATH Keywords

homogeneous bundlehomogeneous manifoldcovariant bundleMostow bundletopological triviality of bundle

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Topological transformation groups (57S99) Topology of vector bundles and fiber bundles (57R22) Algebraic topology on manifolds and differential topology (57R19)

Cites Work

• Beginner's course in topology. Geometric chapters. Transl. from the Russian by A. Iacob
• Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski
• Three-dimensional homogeneous spaces
• Classification of oriented sphere bundles over a 4-complex
• Simply connected five-manifolds
• The non-finite homotopy type of some diffeomorphism groups
• The extensibility of local Lie groups of transformations and groups on surfaces
• On Covariant Fiberings of Klein Spaces
• ON A CLASS OF DECOMPOSITIONS OF SEMISIMPLE LIE GROUPS AND ALGEBRAS
• Finding a Boundary for an Open Manifold
• Whitehead torsion
• Tangent Bundles of Homogeneous Spaces are Homogeneous Spaces
• Covariant Fiberings of Klein Spaces, II
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