ON COMPACT HOMOGENEOUS SPACES OF DIMENSION 5 AND HIGHER

DOI10.1070/RM1978V033N03ABEH002474zbMath0463.57013OpenAlexW2071612760MaRDI QIDQ3914097

V. V. Gorbatsevich

Publication date: 1978

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1978v033n03abeh002474

zbMATH Keywords

sphereprojective spacesolvmanifoldarithmetic subgroupshomogeneously decomposablevirtual Betti numbervirtually torsion-freeclassification of five-dimensional compact homogeneous spaces to within a finite-sheeted covering

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Covering spaces and low-dimensional topology (57M10) Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items (2)

Stable cohomology of compact homogeneous spaces ⋮ Compact homogeneous spaces and their generalizations

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