PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact John Roe, Dmitri Burago.

Title:Scattering rigidity versus lens rigidity
Seminar:Geometry Luncheon Seminar
Speaker:Haomin Wen, U Penn
Abstract:
Abstract: Scattering rigidity of a Riemannian manifold allows one to tell the metric of a manifold with boundary by looking at the directions of geodesics at the boundary. Lens rigidity allows one to tell the metric of a manifold with boundary from the same information plus the length of geodesics. There are a variety of results about lens rigidity but very little is known for scattering rigidity. I will discuss the subtle difference between these two types of rigidities and prove that they are equivalent for two-dimensional SGM manifolds with boundaries. In particular, this implies two-dimensional simple manifolds (such as the flat disk) are scattering rigid since they are lens/boundary rigid (Pestov--Uhlmann, 2005).

Room Reservation Information

Room Number:MB114
Date:10 / 16 / 2013
Time:12:00pm - 01:30pm