%0 Journal Article %T Local rigidity of hyperbolic manifolds with geodesic boundary %A Steven P. Kerckhoff %A Peter A. Storm %J Mathematics %D 2009 %I arXiv %R 10.1112/jtopol/jts018 %X 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. %U http://arxiv.org/abs/0906.2472v1