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math.DG2026
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…
math.DG2024
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…
math.DG2020
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…