# ANNALES DE L'INSTITUT FOURIER

X-Ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds
Annales de l'Institut Fourier to appear, , 63 p.

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.

On considère le problème de rigidité du bord pour les variétés asymptotiquement hyperboliques. Nous montrons l’injectivité de la transformée en rayons X dans plusieurs cas et considérons le problème inverse non-linéaire qui consiste en la détermination de la métrique à partir de données au bord sur le flot géodésique.

Classification:  35R30,  37D40,  53C22
Keywords: X-ray transform, boundary rigidity, asymptotically hyperbolic manifold
@unpublished{AIF_0__0_0_A17_0,
author = {Graham, C. Robin and Guillarmou, Colin and Stefanov, Plamen and Uhlmann, Gunther},
title = {X-Ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds},
note = {to appear in \emph{Annales de l'Institut Fourier}},
}

Graham, C. Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther. X-Ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds. Annales de l'Institut Fourier, to appear, 63 p.

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