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|
|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
|Date:||11 / 07 / 2011|
|Time:||03:35pm - 05:30pm|