In a Riemannian surface with boundary we consider the lens data, i.e. the exit time, point and direction of each geodesic going in. We say that a surface M is lens rigid if any other surface with the same boundary and lens data is isometric to M. We will prove lens rigidity for a flat cylinder and some other surfaces with trapped geodesics, and discus some of the differences with the higher dimensional case.
Geometry-Topology Seminar
Thursday, October 24, 2013 - 4:30pm
Pilar Herreros
Pontificia Universidad Católica de Chile