On the rigidity of hyperbolic cone-manifolds

被引：2

作者：

Montcouquiol, G ^{[1
]}

机构：

[1] Univ Toulouse 3, Lab Emile Picard, UMR 5580, UFR MIG, F-31062 Toulouse, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2005年 / 340卷 / 09期

关键词：

D O I：

10.1016/j.crma.2005.03.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting with a compact hyperbolic cone-manifold of dimension n >= 3, we study the deformations of the metric with the aim of getting Einstein cone-manifolds. If the singular locus is a closed codimension 2 submanifold and all cone angles are smaller than 2 pi, we show that there is no non-trivial infinitesimal Einstein deformations preserving the cone angles. (c) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：677 / 682

页数：6

共 50 条

[41] The Chern-Simons invariants of cone-manifolds with Whitehead link singular set
Abrosimov N.V.
Siberian Advances in Mathematics, 2008, 18 (2) : 77 - 85
[42] On entropy, regularity and rigidity for convex representations of hyperbolic manifolds
A. Sambarino
Mathematische Annalen, 2016, 364 : 453 - 483
[43] RIGIDITY AND L2 COHOMOLOGY OF HYPERBOLIC MANIFOLDS
Carron, Gilles
ANNALES DE L INSTITUT FOURIER, 2010, 60 (07) : 2307 - 2331
[44] On the geometric and topological rigidity of hyperbolic 3-manifolds
Gabai, D
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 10 (01) : 37 - 74
[45] Ricci curvature rigidity for weakly asymptotically hyperbolic manifolds
Bonini, Vincent
Miao, Pengzi
Qing, Jie
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2006, 14 (03) : 603 - 612
[46] ON THE GEOMETRIC AND TOPOLOGICAL RIGIDITY OF HYPERBOLIC 3-MANIFOLDS
GABAI, D
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 31 (02) : 228 - 232
[47] BOUNDARY RIGIDITY OF CONVEX COCOMPACT REAL HYPERBOLIC MANIFOLDS
Kim, Inkang
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (04) : 1743 - 1746
[48] On entropy, regularity and rigidity for convex representations of hyperbolic manifolds
Sambarino, A.
MATHEMATISCHE ANNALEN, 2016, 364 (1-2) : 453 - 483
[49] Sectional Curvature Rigidity of Asymptotically Locally Hyperbolic Manifolds
Mario Listing
Annals of Global Analysis and Geometry, 2004, 25 : 353 - 364
[50] Scalar Curvature Rigidity for Asymptotically Locally Hyperbolic Manifolds
Lars Andersson
Mattias Dahl
Annals of Global Analysis and Geometry, 1998, 16 : 1 - 27

← 1 2 3 4 5 →