Fixed point sets of parabolic isometries of CAT(0)spaces
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2004
 arXiv:
 arXiv:math/0408347
 Bibcode:
 2004math......8347F
 Keywords:

 Differential Geometry;
 Metric Geometry;
 53C20
 EPrint:
 29 pages