to Complex Hyperbolic Space
Abstract: We show that any finitely generated group quasi-isometric to complex hyperbolic space is a finite extension of a properly discontinuous, cocompact subgroup of the isometry group.
Affiliation: Department of Mathematics, National University of Singapore, Singapore 0511
Address at time of publication: Department of Mathematics, University of California, Los Angeles, California 90024
Keywords: Quasiconformal mappings, Heisenberg group, complex hyperbolic space, geometric group theory
Received by editor(s): January 30, 1995
Received by editor(s) in revised form: May 4, 1995
Article copyright: © Copyright 1996 American Mathematical Society