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

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

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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