Fixed point sets of parabolic isometries of CAT(0)-spaces
Fixed point sets of parabolic isometries of CAT(0)-spaces
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DOI：
10.4171/cmh/54
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发表时间：
2004-08
影响因子：
0.9
通讯作者：
K. Fujiwara;Koichi Nagano;T. Shioya
中科院分区：
文献类型：
--
作者：
K. Fujiwara;Koichi Nagano;T. Shioya
研究了真CAT（0）-空间中抛物等距理想边界上的不动点集。我们证明了不动点集的半径至多为$\pi/2$，并研究了它的中心。作为结果，我们证明了一组不动点是收缩的山雀拓扑。
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.