Local rigidity of hyperbolic manifolds with geodesic boundary
classification
🧮 math.GT
math.DG
keywords
hyperbolicboundarygeodesiccompactgroupholonomyinfinitesimallyisometry
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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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