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arXiv · 1512.07745

Fixed point theorems for groups acting on non-positively curved manifolds

Omer Lavy
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Abstract

We study isometric actions of Steinberg groups on Hadamard manifolds. We prove some rigidity properties related to these actions. In Particular we show that every isometric action of $St_n(F_p\langle t_1,\ldots ,t_k \rangle)$ on Hadamard manifold when $n \geq 3$ is finite. We further study actions on infinite dimensional manifolds and prove a fixed point theorem related to such actions.

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Omer Lavy. 2019-12-23. Fixed point theorems for groups acting on non-positively curved manifolds. https://arxiv.org/abs/1512.07745

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