Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds)
type: Item
instance of: scholarly article
title: Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds)
zbMATH Open document ID: 0951.53047
author: François Salein
publication date: 2000-03-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75416
review text: \textit{R. S. Kulkarni} and \textit{F. Raymond} [J. Differ. Geom. 21, 231-268 (1985; Zbl 0563.57004)] gave the first examples of compact anti-de Sitter manifolds. Their examples are quotients of anti-de Sitter space by discrete groups of the form \(\text{graph}(\rho)\), where \(\rho\colon \Gamma\rightarrow\widetilde{\text{PSL}(2,\mathbb R)}\) is a homomorphism taking values in a compact subgroup of \(\widetilde{\text{PSL}(2,\mathbb R)}\), and \(\Gamma\subset\widetilde{\text{PSL}(2,\mathbb R)}\) is a discrete group. The goal of this paper is to give new examples of homomorphisms \(\rho\) which generate exotic anti-de Sitter manifolds, that is, the homomorphisms \(\rho\) are not continuous deformations of the trivial one.
reviewed by: Pascual Lucas Saorín
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 57S30
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 58H15
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 1409071
zbMATH Keywords: Lorentzian geometry
zbMATH Keywords: locally homogeneous manifold
zbMATH Keywords: discontinuous group of transformations
zbMATH Keywords: discrete group
MaRDI profile type: Publication
OpenAlex ID: W2319417085
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DOI: 10.5802/AIF.1754
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1409071