Maximal toral action on aspherical manifolds \(\Gamma\) \(\setminus G/K\) and G/H

DOI10.2969/JMSJ/04040629zbMath0664.57016OpenAlexW1973005530MaRDI QIDQ1114974

Tsuyoshi Watabe

Publication date: 1988

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04040629

zbMATH Keywords

nilmanifoldmaximal compact subgrouplocally homogeneous spaceclosed aspherical manifoldtopological actionscompact homogeneous aspherical manifoldrank of the center of the fundamental group \(\pi _ 1\)Riemannian metric with non-positive sectional curvaturetoral grouptorsion free discrete uniform subgroup

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Eilenberg-Mac Lane spaces (55P20) Compact groups of homeomorphisms (57S10)

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