Invariant Distributions and Tensor Tomography for Gaussian Thermostats

Assylbekov, Yernat M ; Zhou, Hanming (2016)


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.