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arXiv:0906.2472 [math.GT]AbstractReferencesReviewsResources

Local rigidity of hyperbolic manifolds with geodesic boundary

Steven P. Kerckhoff, Peter A. Storm

Published 2009-06-13Version 1

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.

Comments: 30 pages
Categories: math.GT, math.DG
Subjects: 20H10, 22E40
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