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arXiv · 0806.0156

Some properties of non-positively curved lattices

Pierre-Emmanuel Caprace·Nicolas Monod
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Abstract

We announce results on the structure of CAT(0) groups, CAT(0) lattices and of the underlying spaces. Our statements rely notably on a general study of the full isometry groups of proper CAT(0) spaces. Classical statements about Hadamard manifolds are established for singular spaces; new arithmeticity and rigidity statements are obtained.

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Pierre-Emmanuel Caprace, Nicolas Monod. 2008-06-01. Some properties of non-positively curved lattices. https://doi.org/10.1016/j.crma.2008.07.006

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