Tensor tomography on surfaces

Details Tensor tomography on surfaces Tensor tomography on surfaces

2011-09-02

arxiv.org/abs/1109.0505v2

Mathematics

Differential Geometry

This revised version includes a general theorem for compact non-trapping surfaces, 14 pages

Scientific paper

We show that on simple surfaces the geodesic ray transform acting on
solenoidal symmetric tensor fields of arbitrary order is injective. This solves
a long standing inverse problem in the two-dimensional case.

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