Some properties of non-positively curved lattices

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.


Published in:
Comptes Rendus Mathématique. Académie des Sciences. Paris, 346, 15-16, 857-862
Year:
2008
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 Record created 2008-10-29, last modified 2018-03-17


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