English

On Mostow rigidity for variable negative curvature

Differential Geometry 2007-05-23 v1 Group Theory

Abstract

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>2. One of the key ingredients is that the fundamental group of such a manifold does not admit a small nontrivial action on an RR-tree.

Keywords

Cite

@article{arxiv.math/0003091,
  title  = {On Mostow rigidity for variable negative curvature},
  author = {Igor Belegradek},
  journal= {arXiv preprint arXiv:math/0003091},
  year   = {2007}
}

Comments

27 pages