Riemannian Geometry Past, Present and Future: an homage to Marcel Berger

Collection Riemannian Geometry Past, Present and Future: an homage to Marcel Berger

Organizer(s)
Date(s) 29/03/2024
00:00:00 / 00:00:00
4 13

Boundary and lens rigidity for non - convex manifolds

By Colin Guillarmou

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.

Information about the video

  • Date of recording 07/12/2017
  • Date of publication 27/12/2017
  • Institution IHES
  • Format MP4

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