On the rigidity of hyperbolic cone-manifolds
type: Item
instance of: scholarly article
title: On the rigidity of hyperbolic cone-manifolds
zbMATH Open document ID: 1071.57020
author: Grégoire Montcouquiol
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2005-06-23T00:00:00Z
review text: The author proves that if \(M\) is a compact hyperbolic cone--manifold of dimension \(n \geq 3\), whose singular locus is a closed codimension 2 submanifold and whose cone angles are all smaller than \(2\pi\), then \(M\) has no non--trivial infinitesimal Einstein deformation which preserves the cone angles. This result generalizes work of \textit{C. D. Hodgson} and \textit{S. P. Kerckhoff} [J. Diff. Geom. 48, No.1, 1--59 (1998; Zbl 0919.57009)] in dimension 3.
Mathematics Subject Classification ID: 57N16
Mathematics Subject Classification ID: 53C24
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 2182033
zbMATH Keywords: hyperbolic cone manifold
zbMATH Keywords: rigidity
zbMATH Keywords: Einstein manifold
reviewed by: James Hebda
MaRDI profile type: Publication
full work available at URL: j.crma.2005.03.019
OpenAlex ID: W2001953847
cites work: Q4720334
cites work: Uniformization of small 3-orbifolds
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cites work: Q3911109
cites work: Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
cites work: A decomposition of the space \(\mathcal M\) of Riemannian metrics on a manifold
DOI: 10.1016/J.CRMA.2005.03.019
description: scientific article; zbMATH DE number 2182033