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- W2045646280 abstract "The ray transform I on a compact Riemannian manifold M with boundary is the operator sending a symmetric tensor field f to the set of integrals of f over all geodesics joining boundary points. A field f is called potential if it can be represented as the symmetric part of the covariant derivative of another tensor field vanishing on the boundary: The main result asserts that the space of potential tensor fields is a subspace of a finite codimension in Ker I if M is simple. A Riemannian manifold is called simple if every two points are joined by a unique geodesic." @default.
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- W2045646280 date "1995-10-01" @default.
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- W2045646280 title "Finiteness theorem for the ray transform on a Riemannian manifold" @default.
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- W2045646280 doi "https://doi.org/10.1088/0266-5611/11/5/008" @default.
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