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Mat. Zametki, 2012 Volume 92, Issue 2, Pages 202–215 (Mi mzm8932)

On Compact Aspherical Homogeneous Manifolds of Dimension $\le7$

V. V. Gorbatsevich

Moscow State Aviation Technological University, Moscow

Abstract: In the paper, a classification of aspherical compact homogeneous manifolds of dimension less than or equal to $7$ is discussed.

Keywords: aspherical manifold, compact manifold, homogeneous manifold, Lie group, fiber bundle, solvmanifold, plesiocompactness, homotopy group.

UDC: 512.816

Received: 12.10.2011

DOI: 10.4213/mzm8932


 English version:
Mathematical Notes, 2012, 92:2, 186–196

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© Steklov Math. Inst. of RAS, 2025