X-ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds
Differential Geometry
2017-09-18 v1 High Energy Physics - Theory
Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivity of the X-ray transform in several cases and consider the non-linear inverse problem which consists of recovering a metric from boundary measurements for the geodesic flow.
Cite
@article{arxiv.1709.05053,
title = {X-ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds},
author = {C. Robin Graham and Colin Guillarmou and Plamen Stefanov and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1709.05053},
year = {2017}
}
Comments
54 pages