Mostow rigidity of rank 1 discrete groups with ergodic Bowen-Margulis measure
type: Item
instance of: scholarly article
title: Mostow rigidity of rank 1 discrete groups with ergodic Bowen-Margulis measure
zbMATH Open document ID: 0853.58076
author: Chengbo Yue
published in: Inventiones Mathematicae
publication date: 1996-12-16T00:00:00Z
review text: This paper is a sequel of the author's papers `The ergodic theory of discrete isometry groups on manifolds of variable negative curvature'. Trans. Am. Math. Soc. (to appear) and Ann. Math., II. Ser. 143, No. 2, 331-355 (1996; Zbl 0843.22019). In `Seminar on conformal and hyperbolic geometry; Publ. Math. IHES (preprint, March (1983)), \textit{D. Sullivan} asked whether his rigidity result can be extended to discrete subgroups in other semisimple Lie groups. The author answers this question for the (remaining) rank 1 case. Specifically, an extension of Mostow rigidity is proved for discrete isometry groups of the complex, quaternionic or Cayley hyperbolic spaces of infinite covolume.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 57S25
zbMATH DE Number: 885521
zbMATH Keywords: ergodic Bowen-Margulis measure
zbMATH Keywords: Mostow rigidity
zbMATH Keywords: discrete isometry groups
MaRDI profile type: Publication
full work available at URL: s002220050069
OpenAlex ID: W2050604328
DOI: 10.1007/S002220050069
description: scientific article; zbMATH DE number 885521