3 papers
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.DS2026
Local smooth rigidity of Anosov diffeomorphisms in
James Marshall Reber, Sebastián Pavez-Molina
Given a conjugacy between two Anosov diffeomorphisms, the matching periodic data problem asks whether this conjugacy is smooth provided spectral data of the diffeomorphisms m…
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…