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On the range of the attenuated magnetic ray transform for connections and Higgs fields

Published 18 Nov 2013 in math.DG and math.DS | (1311.4582v2)

Abstract: For a two-dimensional simple magnetic system, we study the attenuated magnetic ray transform $I_{A,\Phi}$, with attenuation given by a unitary connection $A$ and a skew-Hermitian Higgs field $\Phi$. We give a description for the range of $I_{A,\Phi}$ acting on $\mathbb Cn$-valued tensor fields.

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