The Magnetic Ray Transform on Anosov Surfaces

2012/08/29 by Ainsworth, Gareth · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1208.6027

Abstract

Assume (M,g,Ω) is a closed, oriented Riemannian surface equipped with an Anosov magnetic flow. We establish certain results on the surjectivity of the adjoint of the magnetic ray transform, and use these to prove the injectivity of the magnetic ray transform on sums of tensors of degree at most two. In the final section of the paper we give an application to the entropy production of magnetic flows perturbed by symmetric 2-tensors.

Cited by

• Guillarmou's Normal Operator for Magnetic and Thermostat Flows

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