Gabriel P. Paternain

most citedRigidity properties of Anosov optical hypersurfaces

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math.DS2005★ 1 cited

Rigidity properties of Anosov optical hypersurfaces

Nurlan S. Dairbekov, Gabriel P. Paternain

We consider an optical hypersurface $Σ$ in the cotangent bundle $τ : T^{*} M \to M$ of a closed manifold $M$ endowed with a twisted symplectic structure. We show that if the characterist…

math.DS2004

Magnetic Rigidity of Horocycle flows

Gabriel P. Paternain

Let $M$ be a closed oriented surface endowed with a Riemannian metric $g$ and let $Ω$ be a 2-form. We show that the magnetic flow of the pair $(g, Ω)$ has zero asymptotic Maslov ind…