PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.

Title:Blocking geodesics in Riemannian 2-manifolds
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Wing Kai Ho, PSU
Abstract:
A closed Riemannian manifold M is said to be "secure" if there is a number n, such that for any two points p,q in M there exist n points in M such that any geodesic connecting p and q contains at least one of these points. So far the only known secure manifolds are flat. It is conjectured that flat manifolds are the only secure ones. In this talk we will discuss some results about security of manifolds, then we will show that the conjecture is true for 2-dimensional, orientable non-simply connected manifolds.

Room Reservation Information

Room Number:MB106
Date:11 / 05 / 2008
Time:03:30pm - 05:30pm