15 citations · 58 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
The marked length spectrum of Anosov manifolds
Colin Guillarmou, Thibault Lefeuvre
In all dimensions, we prove that the marked length spectrum of a Riemannian manifold with Anosov geodesic flow and non-positive curvature locally determines the metric in t…
Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces
Thibault Lefeuvre
In the spirit of Otal and Croke, we prove that a negatively-curved asymptotically hyperbolic surface is boundary distance rigid, where the distance between two points on the bounda…
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…