Showing math.DGShow all
3 papers · 1 filter
math.DG2025
Poincar{é} series for analytic convex bodies
Nguyen Viet Dang, Yannick Guedes Bonthonneau, Matthieu Léautaud +1
We study Poincar{é} series associated to strictly convex bodies in the Euclidean space. These series are Laplace transforms of the distribution of lengths (measured with the Finsl…
math.DG2024
Extending a result of Chen, Erchenko and Gogolev
Yannick Guedes Bonthonneau
In a recent paper, Chen, Erchenko and Gogolev have proven that if a Riemannian manifold with boundary has hyperbolic geodesic trapped set, then it can be embedded into a compact ma…
math.DG2024
Scattering rigidity for analytic metrics
Yannick Guedes Bonthonneau, Colin Guillarmou, Malo Jézéquel
For analytic negatively curved Riemannian manifold with analytic strictly convex boundary, we show that the scattering map for the geodesic flow determines the manifold up to isome…