Quasiconformal Rigidity of Negatively Curved Three Manifolds
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
In this paper we study the rigidity of infinite volume 3-manifolds with sectional curvature 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 Hamenst\"{a}dt or more recently Besson-Courtois-Gallot, to 3-manifolds with infinite volume and geometrically infinite fundamental group.
Keywords
Cite
@article{arxiv.math/0211440,
title = {Quasiconformal Rigidity of Negatively Curved Three Manifolds},
author = {Yong Hou},
journal= {arXiv preprint arXiv:math/0211440},
year = {2007}
}