A topological necessary condition for the existence of compact Clifford-Klein forms

DOI10.4310/JDG/1432842364zbMath1323.53056arXiv1310.7096OpenAlexW3099427378WikidataQ115167835 ScholiaQ115167835MaRDI QIDQ2354904

Yosuke Morita

Publication date: 27 July 2015

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7096

zbMATH Keywords

reductive Lie groupClifford-Klein formreductive subgrouphomogeneous space of reductive type

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of symmetric spaces (53C35) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (8)

A cohomological obstruction to the existence of compact Clifford-Klein forms ⋮ Semisimple symmetric spaces that do not model any compact manifold ⋮ A restriction on proper group actions on homogeneous spaces of reductive type ⋮ Nonexistence of standard compact Clifford–Klein forms of homogeneous spaces of exceptional Lie groups ⋮ Proof of Kobayashi's rank conjecture on Clifford-Klein forms ⋮ On the Hirzebruch-Kobayashi-Ono proportionality principle and the non-existence of compact solvable Clifford-Klein forms of certain homogeneous spaces ⋮ On locally homogeneous pseudo-Riemannian compact Einstein manifolds ⋮ Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford–Klein forms problem

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