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arXiv · 1612.04800

The geodesic ray transform on two-dimensional Cartan-Hadamard manifolds

Jere Lehtonen
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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.

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Jere Lehtonen. 2016-12-14. The geodesic ray transform on two-dimensional Cartan-Hadamard manifolds. https://arxiv.org/abs/1612.04800

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