Completeness of certain pseudo-Riemannian (locally) symmetric spaces

DOI10.5802/aif.2977zbMath1334.53047arXiv1307.3315OpenAlexW2177818783MaRDI QIDQ5962659

Nicolas Tholozan

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3315

zbMATH Keywords

pseudo-Riemannian symmetric spacegroup actionpseudo-Riemannian manifold\((G,X)\)-structureproperly discontinuous action

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35)

Related Items (6)

A cohomological obstruction to the existence of compact Clifford-Klein forms ⋮ Equidistribution of Hodge loci II ⋮ Moduli spaces of flat tori with prescribed holonomy ⋮ On the Teichmüller stack of compact quotients of \(\mathrm{SL}_2 (\mathbb{C})\) ⋮ Obstructions to the existence of compact Clifford–Klein forms for tangential symmetric spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Anosov representations and proper actions
• Maximally stretched laminations on geometrically finite hyperbolic manifolds
• On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups
• Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
• Affine manifolds with nilpotent holonomy
• 3-dimensional Lorentz space-forms and Seifert fiber spaces
• Nonstandard Lorentz space forms
• On the completeness of pseudo-Riemannian manifolds
• Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds
• On closed anti de Sitter spacetimes
• The monodromy groups of Schwarzian equations on closed Riemann surfaces
• Completeness of Lorentz manifolds with constant curvature
• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• Convex affine domains and Markus conjecture
• Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds)
• Divisible convex sets. IV: Boundary structure in dimension 3
• Groupes reductifs
• Compact Clifford-Klein forms of symmetric spaces
• Locally homogeneous geometric manifolds
• Proper actions on corank-one reductive homogeneous spaces
• Déformations des structures complexes sur les espaces homogènes de SL (2, ).
• The Radiance Obstruction and Parallel Forms on Affine Manifolds
• Sur le groupe d'automorphismes des géométries paraboliques de rang 1
• Lie groups beyond an introduction

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