Rank-one isometries of proper CAT(0)-spaces
Metric Geometry
2009-11-18 v2 Group Theory
Abstract
Let G be a non-elementary group of isometries of a proper CAT(0)-space with limit set L. We survey properties of the action of G on L under the assumption that G contains a rank-one element. Among others, we show that there is a dense orbit for the action of G on the complement of the diagonal in LxL and that pairs of fixed points of rank-one elements are dense in the complement of the diagonal of LxL.
Cite
@article{arxiv.0810.3794,
title = {Rank-one isometries of proper CAT(0)-spaces},
author = {Ursula Hamenstaedt},
journal= {arXiv preprint arXiv:0810.3794},
year = {2009}
}
Comments
Several corrections; to appear in Contemp. Math