Local rigidity of hyperbolic manifolds with geodesic boundary

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.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1753-8416
1753-8424
DOI:10.1112/jtopol/jts018