Geometric Analysis and Topology Seminar
Large Scale Geometry of Negatively Curved Homogeneous Spaces
Speaker: Xiangdong Xie
Location: Warren Weaver Hall 202
Date: Friday, November 6, 2009, 11 a.m.
We study quasi-isometries of a class of negatively curved homogeneous spaces. We show that every self quasi-isometry of such a homogeneous space is an almost isometry, that is, they preserve the distance up to an additive constant. We prove this by showing that every quasisymmetry of the ideal boundary is a bilipschitz homeomorphism (with respect to the visual metric on the ideal boundary).