The X-ray transform for connections in negative curvature
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Publication:273194
DOI10.1007/s00220-015-2510-xzbMath1343.53078arXiv1502.04720OpenAlexW101849871WikidataQ109346801 ScholiaQ109346801MaRDI QIDQ273194
Gunther Uhlmann, Mikko Salo, Colin Guillarmou, Gabriel P. Paternain
Publication date: 21 April 2016
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.04720
Integral geometry (53C65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (16)
Killing and conformal Killing tensors ⋮ Efficient tensor tomography in Fan-beam coordinates ⋮ Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives ⋮ The Weitzenböck formula for the divgrad operator ⋮ Carleman estimates for geodesic X-ray transforms ⋮ Pestov identities and X-ray tomography on manifolds of low regularity ⋮ Calderón problem for connections ⋮ Conformal Killing symmetric tensors on Lie groups ⋮ Geodesic ray transform with matrix weights for piecewise constant functions ⋮ Isometric extensions of Anosov flows via microlocal analysis ⋮ Tensor tomography on Cartan–Hadamard manifolds ⋮ Mathematical study of scattering resonances ⋮ Inversion of the Attenuated Geodesic X-Ray Transform over Functions and Vector Fields on Simple Surfaces ⋮ The attenuated geodesic ray transform on tensors: generic injectivity and stability ⋮ Coherent Quantum Tomography ⋮ Travel time tomography
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