English

Integral geometry on manifolds with boundary and applications

Differential Geometry 2018-06-19 v1 Analysis of PDEs

Abstract

We survey recent results on inverse problems for geodesic X-ray transforms and other linear and non-linear geometric inverse problems for Riemannian metrics, connections and Higgs fields defined on manifolds with boundary.

Keywords

Cite

@article{arxiv.1806.06088,
  title  = {Integral geometry on manifolds with boundary and applications},
  author = {Joonas Ilmavirta and François Monard},
  journal= {arXiv preprint arXiv:1806.06088},
  year   = {2018}
}

Comments

73 pages, 8 figures

R2 v1 2026-06-23T02:31:38.058Z