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Manifolds of nonpositive curvature and their buildings
 Publ. Math. IHES
, 1987
"... Let M be a complete Riemannian manifold of bounded nonpositive sectional curvature and finite volume. We construct a topological Tits building A(~I) associated to the universal cover of M. If IV [ is irreducible and rank (M)>I 2, we show that A(~I) is a building canonically associated with a Lie gro ..."
Abstract

Cited by 24 (3 self)
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Let M be a complete Riemannian manifold of bounded nonpositive sectional curvature and finite volume. We construct a topological Tits building A(~I) associated to the universal cover of M. If IV [ is irreducible and rank (M)>I 2, we show that A(~I) is a building canonically associated with a Lie group and hence that M is locally symmetric.