The geodesic ray transform on two-dimensional Cartan-Hadamard manifolds
Differential Geometry
2016-12-15 v1
Abstract
We prove two injectivity theorems for the geodesic ray transform on two-dimensional, complete, simply connected Riemannian manifolds with non-positive Gaussian curvature, also known as Cartan-Hadamard manifolds. The first theorem is concerned with bounded non-positive curvature and the second with decaying non-positive curvature.
Cite
@article{arxiv.1612.04800,
title = {The geodesic ray transform on two-dimensional Cartan-Hadamard manifolds},
author = {Jere Lehtonen},
journal= {arXiv preprint arXiv:1612.04800},
year = {2016}
}