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

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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.
29 pages

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Differential Geometry, Metric Geometry, 53C20

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http://salesiana.dossiersoluciones.com/handle/123456789/72281

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408347
 http://arxiv.org/abs/math/0408347

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arXiv