Strong Jordan separation and applications to rigidity
几何拓扑
2007-05-23 v2 微分几何
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摘要
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.
引用
@article{arxiv.math/0410476,
title = {Strong Jordan separation and applications to rigidity},
author = {J. -F. Lafont},
journal= {arXiv preprint arXiv:math/0410476},
year = {2007}
}
备注
25 pages; shorter proofs of Lemmas 2.4, 2.5, minor typos corrected, added references