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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 in the cotangent bundle of a closed manifold endowed with a twisted symplectic structure. We show that if the characterist…
math.DS2004
Magnetic Rigidity of Horocycle flows
Gabriel P. Paternain
Let be a closed oriented surface endowed with a Riemannian metric and let be a 2-form. We show that the magnetic flow of the pair has zero asymptotic Maslov ind…
math.DS2000
The minimal entropy problem for 3-manifolds with zero simplicial volume
James W. Anderson, Gabriel P. Paternain
We consider the minimal entropy problem, namely the question of whether there exists a smooth metric of minimal entropy, for certain classes of 3-manifolds. Among other resulsts, w…