F. Monard

collaborators

3 papers

math.AP2025

Singularly Weighted X-ray Tensor Tomography

Jonathan Kay, FranÃ§ois Monard

If $d$ is a boundary defining function for the Euclidean unit disk and $I$ denotes the geodesic X-ray transform, for $I^^{3} \in (- 1, 1)$ , we study the singularly-weighted X-ray transfor…

math.DG2025

Tensor Tomography on Asymptotically Hyperbolic Surfaces

Nikolas Eptaminitakis, FranÃ§ois Monard, François Monard +1

We initiate a study of the inversion of the geodesic X-ray transform $I_{m}$ over symmetric $m$ -tensor fields on asymptotically hyperbolic surfaces. This operator has a non-trivial k…

math.DG2024

Biholomorphism Rigidity for Transport Twistor Spaces

Jan Bohr, FranÃ§ois Monard, Gabriel P. Paternain

We prove that biholomorphisms between the transport twistor spaces of simple or Anosov surfaces exhibit rigidity: they must be, up to constant rescaling and the antipodal map, the…