On compact aspherical homogeneous manifolds of dimension \(\leq 7\)

DOI10.1134/S0001434612070218zbMath1262.53045OpenAlexW2021772241MaRDI QIDQ1938646

V. V. Gorbatsevich

Publication date: 22 February 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434612070218

zbMATH Keywords

homotopy groupLie groupfiber bundleaspherical manifoldsolvmanifoldhomogeneous manifoldplesiocompactness

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Transformation groups and semigroups (topological aspects) (54H15) Lie algebras of Lie groups (22E60) Topological transformation groups (57S99)

Cites Work

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• Compact aspherical homogeneous spaces up to a finite covering
• Three-dimensional homogeneous spaces
• Characteristic classes of compact solvmanifolds
• The construction of a simply connected Lie group with a given Lie algebra
• An exposition of the structure of solvmanifolds. Part I: Algebraic theory

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