Fixed point sets of parabolic isometries of CAT(0)-spaces

Details Fixed point sets of parabolic isometries of CAT(0)-spaces Fixed point sets of parabolic isometries of CAT(0)-spaces

2004-08-25

arxiv.org/abs/math/0408347v1

Mathematics

Differential Geometry

29 pages

Scientific paper

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.

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