Tensor tomography on surfaces
Differential Geometry
2012-11-13 v3 Analysis of PDEs
Abstract
We show that on simple surfaces the geodesic ray transform acting on solenoidal symmetric tensor fields of arbitrary order is injective. This solves a long standing inverse problem in the two-dimensional case.
Keywords
Cite
@article{arxiv.1109.0505,
title = {Tensor tomography on surfaces},
author = {Gabriel P. Paternain and Mikko Salo and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1109.0505},
year = {2012}
}
Comments
This final version incorporates referees' comments, to appear in Inventiones