X-ray Transform in Asymptotically Conic Spaces
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Guillarmou , C , Lassas , M & Tzou , L 2022 , ' X-ray Transform in Asymptotically Conic Spaces ' , International Mathematics Research Notices , vol. 2022 , no. 5 , rnaa286 , pp. 3918–3976 . https://doi.org/10.1093/imrn/rnaa286
| Title: | X-ray Transform in Asymptotically Conic Spaces |
| Author: | Guillarmou, Colin; Lassas, Matti; Tzou, Leo |
| Contributor organization: | Department of Mathematics and Statistics Inverse Problems Matti Lassas / Principal Investigator |
| Date: | 2022-02-23 |
| Language: | eng |
| Number of pages: | 59 |
| Belongs to series: | International Mathematics Research Notices |
| ISSN: | 1073-7928 |
| DOI: | https://doi.org/10.1093/imrn/rnaa286 |
| URI: | http://hdl.handle.net/10138/341144 |
| 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. |
| Subject: |
111 Mathematics
RECOVERING ASYMPTOTICS MANIFOLDS RIGIDITY METRICS |
| Peer reviewed: | Yes |
| Usage restriction: | openAccess |
| Self-archived version: | acceptedVersion |
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