Fixed point sets of parabolic isometries of CAT(0)-spaces
Differential Geometry
2007-05-23 v1 Metric Geometry
Abstract
We study the fixed point set in the ideal boundary of a parabolic isometry of a proper CAT(0)-space. We show that the radius of the fixed point set is at most pi/2, and study its centers. As a consequence, we prove that the set of fixed points is contractible with respect to the Tits topology.
Cite
@article{arxiv.math/0408347,
title = {Fixed point sets of parabolic isometries of CAT(0)-spaces},
author = {Koji Fujiwara and Koichi Nagano and Takashi Shioya},
journal= {arXiv preprint arXiv:math/0408347},
year = {2007}
}
Comments
29 pages