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math.DG2026
Finiteness of Totally Magnetic Hypersurfaces
James Marshall Reber, Ivo Terek
By introducing a dynamical version of the second fundamental form, we generalize a recent result of Filip-Fisher-Lowe to the setting of magnetic systems. Namely, we show that a rea…
math.DG2024
Marked length spectrum rigidity for Anosov magnetic surfaces
Valerio Assenza, Jacopo de Simoi, James Marshall Reber +1
We show that if is a closed, connected, oriented surface, and two Anosov magnetic systems on are conjugate by a volume-preserving conjugacy isotopic to the identity, with t…
math.DG2023★ 1 cited
A counterexample to marked length spectrum semi-rigidity
Andrey Gogolev, James Marshall Reber
Given a closed orientable negatively curved Riemannian surface , we show how to construct a perturbation such that each closed geodesic becomes longer, and ye…