Tensor tomography on surfaces
Gabriel, P., Salo, M., & Gunther, U. (2013). Tensor tomography on surfaces. Inventiones mathematicae, 193 (1), 229-247. doi:10.1007/s00222-012-0432-1
Published inInventiones mathematicae
© Springer-Verlag Berlin Heidelberg 2012. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.
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.