Local rigidity of hyperbolic manifolds with geodesic boundary

Let W be a compact hyperbolic n‐manifold with totally geodesic boundary. We prove that if n>3, then the holonomy representation of π1 (W) into the isometry group of hyperbolic n‐space is infinitesimally rigid.

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Veröffentlicht in:	Journal of topology 2012-12, Vol.5 (4), p.757-784
Hauptverfasser:	Kerckhoff, Steven P., Storm, Peter A.
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Sprache:	eng
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creator	Kerckhoff, Steven P. Storm, Peter A.
description	Let W be a compact hyperbolic n‐manifold with totally geodesic boundary. We prove that if n>3, then the holonomy representation of π1 (W) into the isometry group of hyperbolic n‐space is infinitesimally rigid.
doi_str_mv	10.1112/jtopol/jts018
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title	Local rigidity of hyperbolic manifolds with geodesic boundary
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