Quasiconformal Rigidity of Negatively Curved Three Manifolds

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dc.creatorHou, Yong
dc.date2002-11-28
dc.date.accessioned2026-07-07T04:53:22Z
dc.date.available2026-07-07T04:53:22Z
dc.descriptionIn this paper we study the rigidity of infinite volume 3-manifolds with sectional curvature $-b^2\le K\le -1$ and finitely generated fundamental group. In-particular, we generalize the Sullivan's quasi-conformal rigidity for finitely generated fundamental group with empty dissipative set to negative variable curvature 3-manifolds. We also generalize the rigidity of Hamenstädt or more recently Besson-Courtois-Gallot, to 3-manifolds with infinite volume and geometrically infinite fundamental group.
dc.identifierhttps://arxiv.org/abs/math/0211440
dc.identifierhttp://arxiv.org/abs/math/0211440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65820
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject57M50; 57M60
dc.titleQuasiconformal Rigidity of Negatively Curved Three Manifolds
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