Texas A&M University, Department of
Mathematics, 216 Milner Hall, 24th of October 2007, 2:00-2:50
Groups and Dynamics Seminar
Gromov hyperbolic homogeneous Riemannian manifolds
Romain Tessera of Vanderbilt University
We will explain two proofs of the fact (which is a new result)
that a homogeneous manifold is Gromov hyperbolic if and only if it is
quasi-isometric to a semi-direct product of a nilpotent Lie group N with
R, where the action of R+ is contractant on N. One proof uses
Lp-cohomology, and the other one uses Dehn functions and asymptotic cones.