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arxiv: 1109.0505 · v3 · pith:VRBI6RDGnew · submitted 2011-09-02 · 🧮 math.DG · math.AP

Tensor tomography on surfaces

Gabriel P. Paternain , Mikko Salo , Gunther Uhlmann This is my paper
classification 🧮 math.DG math.AP
keywords surfacestensoractingarbitrarycasefieldsgeodesicinjective
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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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