论文标题

对猫(0)空间的薄动作

Thin actions on CAT(0) spaces

论文作者

Cavallucci, Nicola, Sambusetti, Andrea

论文摘要

我们研究了包装,地球完整,CAT $(0)$的同密的组,每个点的收缩期仅根据包装而小于通用常数,从而推断出强烈的刚性结果。我们表明,如果上述空间具有某些负曲率行为,那么它不能支持薄的动作:这将经典的Margulis引理概括为更广泛的空间。

We study groups of isometries of packed, geodesically complete, CAT$(0)$-spaces for which the systole at every point is smaller than a universal constant depending only on the packing, deducing strong rigidity results. We show that if a space as above has some negative curvature behaviour then it cannot support a thin action: this generalizes the classical Margulis Lemma to a broader class of spaces.

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