Rigidity and flexibility of triangle groups in complex hyperbolic geometry
type: Item
instance of: scholarly article
title: Rigidity and flexibility of triangle groups in complex hyperbolic geometry
zbMATH Open document ID: 1005.32018
DOI: 10.1016/S0040-9383(00)00049-5
published in: Topology
publication date: 2002-06-27T00:00:00Z
review text: This paper shows that the Teichmüller space of the triangle groups of type \((p,q,\infty)\) in the automorphism group of the two -dimensional complex hyperbolic space contains open sets of \(0, 1\) and two real dimensions. In particular, the authors identify the Teichmüller space near embeddings of the modular group preserving a complex geodesic.
reviewed by: Min Ru
Mathematics Subject Classification ID: 32Q45
Mathematics Subject Classification ID: 32G15
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 57S30
Mathematics Subject Classification ID: 32G07
Mathematics Subject Classification ID: 20H10
zbMATH DE Number: 1761012
zbMATH Keywords: complex hyperbolic
zbMATH Keywords: triangle group
zbMATH Keywords: discrete group
zbMATH Keywords: rigidity
zbMATH Keywords: CR-manifold
author: Elisha Falbel
author: Pierre-Vincent Koseleff
MaRDI profile type: Publication
full work available at URL: s0040-9383(00)00049-5
OpenAlex ID: W2096025131
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description: scientific article; zbMATH DE number 1761012