The x-ray transform for a non-Abelian connection in two dimensions

DOI10.1088/0266-5611/17/4/308zbMath1004.53055OpenAlexW2094599714MaRDI QIDQ2747518

David Finch, Gunther Uhlmann

Publication date: 4 June 2002

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/17/4/308

zbMATH Keywords

gauge transformationscurvatureintegral geometryconnectionskew-Hermitian matrices

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Applications of global differential geometry to the sciences (53C80) Integral geometry (53C65)

Related Items (12)

The X-ray transform for connections in negative curvature ⋮ Inverse Scattering Problem for the Schrödinger Operator with External Yang–Mills Potentials in Two Dimensions at Fixed Energy ⋮ Transparent pairs ⋮ The attenuated ray transform for connections and Higgs fields ⋮ Carleman estimates for geodesic X-ray transforms ⋮ The transport Oka-Grauert principle for simple surfaces ⋮ Pestov identities and X-ray tomography on manifolds of low regularity ⋮ Geodesic ray transform with matrix weights for piecewise constant functions ⋮ Tensor tomography: progress and challenges ⋮ Coherent Quantum Tomography ⋮ Bäcklund transformations for transparent connections ⋮ Travel time tomography

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