Louis-Brahim Beaufort

collaborators

3 papers

math.DG2026

Tensor tomography and frame flow ergodicity for magnetic flows in higher dimensions

Louis-Brahim Beaufort

We extend two results from the theory of geodesic flows to the magnetic setting on manifolds of arbitrary dimension. First, we investigate the magnetic ray transform and establish…

math.DS2026

Marked magnetic action rigidity

Louis-Brahim Beaufort, SebastiÃ¡n MuÃ±oz-Thon, Sean Richardson

An exact magnetic system over a closed manifold $M$ consists of a pair $(g, I^\pm)$ , where $g$ is a Riemannian metric and $I^\pm$ is a 1-form encoding a magnetic field. In this context, w…

math.DS2025

On Kanai's conjecture for frame flows over negatively curved manifolds

Louis-Brahim Beaufort

Let $M$ be a closed, negatively curved Riemannian manifold of dimension $n \neq = 4, 8$ with strictly $1/4$ -pinched sectional curvature. We prove, that if the frame flow is ergodic a…