Strong Jordan separation and applications to rigidity

J. -F. Lafont

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Strong Jordan separation and applications to rigidity

J. -F. Lafont

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Abstract

We prove that simple, thick hyperbolic P-manifolds of dimension >2 exhibit Mostow rigidity. We also prove a quasi-isometry rigidity result for the fundamental groups of simple, thick hyperbolic P-manifolds of dimension >2. The key tool in the proofs of these rigidity results is a strong form of the Jordan separation theorem, for maps from S^n to S^{n+1} which are not necessarily injective.

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BibTeX RIS

J. -F. Lafont. 2005-06-13. Strong Jordan separation and applications to rigidity. https://arxiv.org/abs/math/0410476

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