Colin GUILLARMOU - Boundary and lens rigidity for non - convex manifolds
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2017-12-27

We  show  that  the  boundary  distance  function  determine  a  simply  connected  surface with no conjugate points and that the lens data determine a non-trapping surface with no conjugate points. The novelty is that the manifold is not assumed to be « simple », i.e  the  boundary  is  not  assumed  convex.  We  also  show  new  result  on  the  geodesic ray transform when there is trapped set. 
This is joint work with Mazzucchelli and Tzou.