CANCELLED Geodesic flow, X-ray transform, and boundary rigidity on asymptotically hyperbolic manifolds

CANCELLED Geodesic flow, X-ray transform, and boundary rigidity on asymptotically hyperbolic manifolds

-
CANCELLED Robin Graham, University of Washington
Fine Hall 401

I will describe an extension to the boundary of the cosphere bundle and geodesic flow of an asymptotically hyperbolic manifold.  I will then discuss injectivity results for X-ray transforms on tensors and the boundary rigidity problem of determining an asymptotically hyperbolic metric from the renormalized lengths of geodesics joining boundary points. This is joint work with Colin Guillarmou, Plamen Stefanov, and Gunther Uhlmann.