Local rigidity of hyperbolic manifolds with geodesic boundary

Details Local rigidity of hyperbolic manifolds with geodesic boundary Local rigidity of hyperbolic manifolds with geodesic boundary

2009-06-13

arxiv.org/abs/0906.2472v1

Mathematics

Geometric Topology

30 pages

Scientific paper

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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