For more information about this meeting, contact Anatole Katok.
| Title: | Volume entropy and Ricci curvature |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Xiaodong Wang, Michigan State University |
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| Abstract: |
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| 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 |
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| Date: | 11 / 07 / 2011 |
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| Time: | 03:35pm - 05:30pm |
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