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arXiv · 1910.09631

X-Ray Transform in Asymptotically Conic Spaces

Colin Guillarmou·Matti Lassas·Leo Tzou
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Abstract

In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidean or conic Riemannian metrics and show injectivity under non-trapping and no conjugate point assumptions. We also define a notion of lens data for such metrics and study the associated inverse problem.

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Colin Guillarmou, Matti Lassas, Leo Tzou. 2021-02-06. X-Ray Transform in Asymptotically Conic Spaces. https://doi.org/10.1093/imrn%2Frnaa286

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