English

A uniqueness result for light ray transform on symmetric 2-tensor fields

Analysis of PDEs 2020-05-26 v2

Abstract

We study light ray transform of symmetric 2-tensor fields defined on a bounded time-space domain in R1+n\mathbb{R}^{1+n} for n3n\geq 3. We prove a uniqueness result for such light ray transforms. More precisely, we characterize the kernel of the light ray transform vanishing near a fixed direction at each point in the time-space domain.

Cite

@article{arxiv.1911.07804,
  title  = {A uniqueness result for light ray transform on symmetric 2-tensor fields},
  author = {Venkateswaran P Krishnan and Soumen Senapati and Manmohan Vashisth},
  journal= {arXiv preprint arXiv:1911.07804},
  year   = {2020}
}
R2 v1 2026-06-23T12:19:37.267Z