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arXiv:1709.05053 [math.DG]AbstractReferencesReviewsResources

X-ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds

C. Robin Graham, Colin Guillarmou, Plamen Stefanov, Gunther Uhlmann

Published 2017-09-15Version 1

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.

Comments: 54 pages
Subjects: 35R30, 37D40, 53C22
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