Attenuated tensor tomography on simple surfaces

Details Attenuated tensor tomography on simple surfaces Attenuated tensor tomography on simple surfaces

2012-04-19

arxiv.org/abs/1204.4388v1

Mathematics

Differential Geometry

9 pages. arXiv admin note: text overlap with arXiv:1109.0505 and arXiv:1004.2323 by other authors

Scientific paper

In this paper we consider the geodesic X-ray transform with attenuation
coefficient as a combination of smooth complex function and 1-form. We show
that attenuated X-ray transform applied to the pair of tensors is injective
modulo the natural obstruction.

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