For more information about this meeting, contact Svetlana Katok, Anatole Katok.
| Title: | Pairs of minimal geodesics and injectivity radius |
| Seminar: | Center for Dynamics and Geometry Seminar |
| Speaker: | Xiaochun Rong, Rutgers |
| Abstract: |
| Let $p$ be a point in a complete Riemannian manifold.
We will discuss an estimate from below for the injectivity
radius at $p$ in terms of the local geometry. When applying
it to a compact manifold, we generalize the early results
(Cheeger, Burago-Gromov-Perel'man) on bounding from below
for the length of a (almost) closed geodesic in terms of
curvature, diameter and volume. This is a joint work with
Nan Li. |
Room Reservation Information
| Room Number: | MB106 |
| Date: | 04 / 16 / 2008 |
| Time: | 03:35pm - 04:35pm |