4 papers
Rigidity of the timelike marked length spectrum and length-twist coordinates of singular de-Sitter tori
Martin Mion-Mouton
In this paper, we study the closed timelike geodesics of de-Sitter tori with one singularity and prove their uniqueness in their free homotopy class. We introduce the notion of tim…
On simultaneous conjugacies of pairs of transverse foliations of the torus
Martin Mion-Mouton
We prove in this note that two pairs of transverse minimal topological foliations of the torus are individually conjugated if, and only if they are simultaneously conjugated.
Rigidity of singular de-Sitter tori with respect to their lightlike bi-foliation
Martin Mion-Mouton
In this paper, we introduce a natural notion of constant curvature Lorentzian surfaces with conical singularities, and provide a large class of examples of such structures. We more…
Partially hyperbolic diffeomorphisms and Lagrangian contact structures
Martin Mion-Mouton
In this paper, we classify the three-dimensional contact partially hyperbolic diffeomorphisms whose stable, unstable and central distributions are smooth, and whose non-wandering s…