Abstract
Let Isom(H^n) be the group of isometries of the n-dimensional real hyperbolic space. We first classify all continuous non-elementary actions of on the infinite-dimensional real hyperbolic space. We then prove the existence of a continuous family of non-isometric minimal proper CAT(-1) spaces on which Isom(H^n) acts cocompactly by isometries.
Details
Title
An Exotic Deformation of the Hyperbolic Space
Author(s)
Monod, Nicolas ; Py, Pierre
Published in
American Journal of Mathematics
Volume
136
Issue
5
Pages
1249-1299
Date
2014
Publisher
Baltimore, Johns Hopkins Univ Press
ISSN
0002-9327
Other identifier(s)
View record in Web of Science
Laboratories
EGG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > EGG - Chair of ergodic and geometric group theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2012-01-26