X-Ray Transform in Asymptotically Conic Spaces
Differential Geometry
2021-02-09 v3 Analysis of PDEs
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.
Cite
@article{arxiv.1910.09631,
title = {X-Ray Transform in Asymptotically Conic Spaces},
author = {Colin Guillarmou and Matti Lassas and Leo Tzou},
journal= {arXiv preprint arXiv:1910.09631},
year = {2021}
}
Comments
48 pages, minor corrections after refereeing process