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math.DS2026
Marked magnetic action rigidity
Louis-Brahim Beaufort, Sebastián Muñoz-Thon, Sean Richardson
An exact magnetic system over a closed manifold consists of a pair , where is a Riemannian metric and is a 1-form encoding a magnetic field. In this context, we…
math.DS2025
On Kanai's conjecture for frame flows over negatively curved manifolds
Louis-Brahim Beaufort
Let be a closed, negatively curved Riemannian manifold of dimension with strictly -pinched sectional curvature. We prove, that if the frame flow is ergodic a…