Some properties of non-positively curved lattices

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.

6 pages

Cited by in corpus (4)

• Isometry groups of non-positively curved spaces: discrete subgroups
• Rank-one isometries of proper CAT(0)-spaces
• A lattice in more than two Kac--Moody groups is arithmetic
• Survey on geometric group theory