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arXiv · 0810.3794

Rank-one isometries of proper CAT(0)-spaces

Ursula Hamenstaedt
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Abstract

Let G be a non-elementary group of isometries of a proper CAT(0)-space with limit set L. We survey properties of the action of G on L under the assumption that G contains a rank-one element. Among others, we show that there is a dense orbit for the action of G on the complement of the diagonal in LxL and that pairs of fixed points of rank-one elements are dense in the complement of the diagonal of LxL.

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Ursula Hamenstaedt. 2009-11-18. Rank-one isometries of proper CAT(0)-spaces. https://arxiv.org/abs/0810.3794

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