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math.DG2019★ 3 cited
Generic uniqueness and stability for the mixed ray transform
Maarten V. de Hoop, Teemu Saksala, Gunther Uhlmann +1
We consider the mixed ray transform of tensor fields on a three-dimensional compact simple Riemannian manifold with boundary. We prove the injectivity of the transform, up to natur…
math.DG2019★ 3 cited
Determination of a compact Finsler manifold from its boundary distance map and an inverse problem in elasticity
Maarten V. De Hoop, Joonas Ilmavirta, Matti Lassas +1
We prove that the boundary distance map of a smooth compact Finsler manifold with smooth boundary determines its topological and differentiable structures. We construct the optimal…