PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok.

Title:Volume entropy and Ricci curvature
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Xiaodong Wang, Michigan State University
Abstract:
The volume entropy is a very interesting invariant of a Riemannian manifold. When the Ricci curvature has a negative lower bound, there is a sharp lower bound for the volume entropy. I will discuss why the equality case characterizes hyperbolic manifolds. In certain cases, we can also prove that the manifold is close to a hyperbolic manifold in the Gromov-Hausdorff sense if the volume entropy is close to the sharp lower bound. The method involves the Busemann compactification and Patterson-Sullivan measure. This is a joint work with Francois Ledrappier.

Room Reservation Information

Room Number:MB106
Date:11 / 07 / 2011
Time:03:35pm - 05:30pm