On Mostow rigidity for variable negative curvature

Details On Mostow rigidity for variable negative curvature On Mostow rigidity for variable negative curvature

2000-03-15

arxiv.org/abs/math/0003091v1

Mathematics

Differential Geometry

27 pages

Scientific paper

We prove a finiteness theorem for the class of complete finite volume
Riemannian manifolds with pinched negative sectional curvature, fixed
fundamental group, and of dimension $>2$. One of the key ingredients is that
the fundamental group of such a manifold does not admit a small nontrivial
action on an $R$-tree.

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