• Corpus ID: 235795211

Generic injectivity of the X-ray transform

  title={Generic injectivity of the X-ray transform},
  author={Mihajlo Ceki'c and Thibault Lefeuvre},
In dimensions ≥ 3, we prove that the X-ray transform of symmetric tensors of arbitrary degree is generically injective with respect to the metric on closed Anosov manifolds and on manifolds with spherical strictly convex boundary, no conjugate points and a hyperbolic trapped set. Building on earlier work by Guillarmou, Knieper and the second author [GL19, GKL19], this solves locally the marked length spectrum rigidity conjecture in a neighborhood of a generic Anosov metric. This is the first… 

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