Communications in Analysis and Geometry
Volume 25 (2017)
Invariant distributions and tensor tomography for Gaussian thermostats
Pages: 895 – 926
In this paper we consider the Gaussian thermostat ray transforms on both closed Riemannian surfaces and compact Riemannian surfaces with boundary. We establish certain results on the injectivity of the thermostat ray transform and the surjectivity of its adjoint.
2010 Mathematics Subject Classification
The authors want to thank their PhD advisor, Professor Gunther Uhlmann, for all his support and encouragement. Thanks are also due to Professor Gabriel Paternain and Professor Mikko Salo for helpful discussions and sharing their knowledges on the topics. The authors are also grateful to the referees for helpful comments and suggestions. The work was partially supported by NSF.
Paper received on 7 November 2014.