Deformations of hyperbolic 3-cone-manioflds

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dc.creatorKojima, Sadayoshi
dc.date1998-09-07
dc.date.accessioned2026-07-07T05:25:55Z
dc.date.available2026-07-07T05:25:55Z
dc.descriptionWe show that any compact orientable hyperbolic 3-cone-manifold with cone angle at most πcan be continuously deformed to a complete hyperbolic manifold homeomorphic to the complement of the singularity. This together with the local rigidity by Hodgson and Kerckhoff implies the global rigidity for compact orientable hyperbolic 3-cone-manifolds under the same angle assumption.
dc.descriptionto appear in J. Differential Geom
dc.identifierhttps://arxiv.org/abs/math/9809034
dc.identifierhttp://arxiv.org/abs/math/9809034
dc.identifierJ. Differential Geometry, 49 (1998), 469-516
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77365
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57M50(Primary), 30F40(Secondary)
dc.titleDeformations of hyperbolic 3-cone-manioflds
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