A generalization of inversion formulas of Pestov and Uhlmann

Details A generalization of inversion formulas of Pestov and Uhlmann A generalization of inversion formulas of Pestov and Uhlmann

2007-12-08

arxiv.org/abs/0712.1296v1

Mathematics

Differential Geometry

6 pages

Scientific paper

In this note, we give a generalization of the inversion formulas of
Pestov-Uhlmann for the geodesic ray transform of functions and vector fields on
simple 2-dimensional manifolds of constant curvature. The inversion formulas
given here hold for 2-dimensional simple manifolds whose curvatures close to a
constant.

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