Peyerimhoff, Norbert and Samiou, Evangelia (2020) 'A support theorem for the X-ray transform on manifolds with plane covers.', Mathematical proceedings of the Cambridge Philosophical Society., 169 (1). pp. 149-158.
Abstract
This paper is concerned with support theorems of the X-ray transform on non-compact manifolds with conjugate points. In particular, we prove that all simply connected 2-step nilpotent Lie groups have a support theorem. Important ingredients of the proof are the concept of plane covers and a support theorem for simple manifolds by Krishnan. We also provide examples of non-homogeneous 3-dimensional simply connected manifolds with conjugate points which have support theorems.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (305Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1017/S0305004119000148 |
| Publisher statement: | This article has been published in a revised form in Mathematical proceedings of the Cambridge Philosophical Society https://doi.org/10.1017/S0305004119000148. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Cambridge Philosophical Society. |
| Date accepted: | 18 February 2019 |
| Date deposited: | 06 March 2019 |
| Date of first online publication: | 25 April 2019 |
| Date first made open access: | 06 March 2019 |
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