PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Aaron Brown, Dmitri Burago.

Title:Riemannian Metrics on S^2 with Total Absence of Finite Blocking
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Marlies Gerber, Indiana University
Abstract:
If (M,g) is a Riemannian manifold and (x,y) is in M x M, then a subset P of M\{x,y} is said to be a blocking set for (x,y) if every geodesic from x to y passes through a point of P. If no pair (x,y) in M x M has a finite blocking set, then (M,g) is said to be totally insecure. We prove that there exist Riemannian metrics h on S^2 such that (S^2,h) is totally insecure. Moreover, the metrics in our construction are real analytic. This is joint work with with Lihuei Liu

Room Reservation Information

Room Number:MB106
Date:02 / 27 / 2012
Time:03:35pm - 05:30pm