Quasi-conformal Rigidity of Negatively Curved Three Manifolds
نویسنده
چکیده
In this paper we study the rigidity of infinite volume 3-manifolds with sectional curvature −b2 ≤ K ≤ −1 and finitely generated fundamental group. In-particular, we generalize the Sullivan’s quasiconformal 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-CourtoisGallot, to 3-manifolds with infinite volume and geometrically infinite fundamental group.
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تاریخ انتشار 2002