X-Ray Transform in Asymptotically Conic Spaces

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.

48 pages, minor corrections after refereeing process

References in corpus (1)

• Normal Form for Edge Metrics

Cited by in corpus (3)

• Broken ray transform for twisted geodesics on surfaces with a reflecting obstacle
• On mixed and transverse ray transforms on orientable surfaces
• Asymptotically Euclidean metrics without conjugate points are flat