English

Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification

Differential Geometry 2022-01-11 v2

Abstract

We prove local injectivity near a boundary point for the geodesic X-ray transform for an asymptotically hyperbolic metric even mod O(ρ5)O(\rho^5) in dimensions three and higher.

Keywords

Cite

@article{arxiv.2111.13631,
  title  = {Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification},
  author = {Nikolas Eptaminitakis and C. Robin Graham},
  journal= {arXiv preprint arXiv:2111.13631},
  year   = {2022}
}

Comments

30 pages. v2: Final version. Minor editorial changes. Dedication and memorial added

R2 v1 2026-06-24T07:53:22.836Z