A support theorem for the X-ray transform on manifolds with plane covers
Differential Geometry
2020-07-08 v1
Abstract
This article 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.
Cite
@article{arxiv.1801.06472,
title = {A support theorem for the X-ray transform on manifolds with plane covers},
author = {Norbert Peyerimhoff and Evangelia Samiou},
journal= {arXiv preprint arXiv:1801.06472},
year = {2020}
}
Comments
1 figure