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math.AP2018★ 5 cited
On the s-injectivity of the X-ray transform on manifolds with hyperbolic trapped set
Thibault Lefeuvre
For smooth compact connected manifolds with strictly convex boundary, no conjugate points and a hyperbolic trapped set, we prove an equivalence principle concerning the injectivity…
math.AP2018
Local marked boundary rigidity under hyperbolic trapping assumptions
Thibault Lefeuvre
Under the assumption that the X-ray transform over symmetric solenoidal 2-tensors is injective, we prove that smooth compact connected manifolds with strictly convex boundary, no c…