PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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 Seminars
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