On Mostow rigidity for variable negative curvature

Igor Belegradek

On Mostow rigidity for variable negative curvature

微分几何 2007-05-23 v1 群论

作者: Igor Belegradek

摘要

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.

关键词

riemannian geometry simplicial volume ricci curvature and riemannian geometry

引用

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

备注

27 pages

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