On homogeneous model spaces of compact manifolds

DOI10.1007/BF02699431zbMath0786.53031MaRDI QIDQ1802680

François Labourie, Yves Benoist

Publication date: 25 April 1994

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1992__76__99_0

zbMATH Keywords

compact quotientshomogeneous model spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (12)

A cohomological obstruction to the existence of compact Clifford-Klein forms ⋮ Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds ⋮ Semisimple symmetric spaces that do not model any compact manifold ⋮ On manifolds locally modelled on non-Riemannian homogeneous spaces ⋮ Three-dimensional Lorentz geometries: Classification and completeness ⋮ Discrete Groups and Non-Riemannian Homogeneous Spaces ⋮ Homogeneous domains in the space of complex structures ⋮ On semisimple standard compact Clifford-Klein forms ⋮ Nonexistence of standard compact Clifford–Klein forms of homogeneous spaces of exceptional Lie groups ⋮ Homogeneous \((Z(n), \text{SO}(2n, \mathbb C))\)-geometries and uniformization ⋮ Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford–Klein forms problem ⋮ Semisimple symmetric spaces without compact manifolds locally modelled thereon

Cites Work

• Nonstandard Lorentz space forms
• Proper action on a homogeneous space of reductive type
• Proper actions and pseudo-Riemannian space forms
• Compact Clifford-Klein forms of symmetric spaces
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