简单曲面上的衰减张量层析成像
微分几何
2017-03-07 v2
摘要
本文考虑衰减系数为光滑复函数与1-形式的组合的测地线X射线变换。我们证明，作用于张量对的衰减X射线变换在模去自然障碍的意义下是单射的。
引用
@article{arxiv.1204.4388,
title = {Attenuated tensor tomography on simple surfaces},
author = {Yernat M. Assylbekov},
journal= {arXiv preprint arXiv:1204.4388},
year = {2017}
}
备注
This note has been withdrawn since the main result follows from Remark 7.5 in the paper of G. Ainsworth, "The Attenuated Magnetic Ray Transform on Surfaces" (Inverse Problems and Imaging, 2013), see arXiv:1205.2392