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math.DG2012
On a non-elliptic attenuated geodesic transform
Victor P. Palamodov
For a compact Riemannian surface with boundary we study attenuated geodesic transform of functions and differential forms. We generalize several known results on uniqueness and sta…
math.DG2012
Inverse kinematic problem and boundary rigidity of Riemannian surfaces
Victor Palamodov
Given a compact manifold with boundary with unknown Riemannian metric. The problem is to reconstruct the metric in a class of conformal metrics from knowledge of lengths of all clo…