Local rigidity of hyperbolic manifolds with geodesic boundary
Geometric Topology
2014-02-26 v1 Differential Geometry
Abstract
Let W be a compact hyperbolic n-manifold with totally geodesic boundary. We prove that if n>3 then the holonomy representation of pi_1 (W) into the isometry group of hyperbolic n-space is infinitesimally rigid.
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Cite
@article{arxiv.0906.2472,
title = {Local rigidity of hyperbolic manifolds with geodesic boundary},
author = {Steven P. Kerckhoff and Peter A. Storm},
journal= {arXiv preprint arXiv:0906.2472},
year = {2014}
}
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30 pages