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- W2052807096 abstract "We study the problem of entropy rigidity in the sense of Gromov-Katok for deformations of the geodesic flow by twisting the symplectic form by a closed 2-form Ω in M corresponding to a magnetic term. We show that if M is a hyperbolic manifold, then the origin is a convex point of the function given by the difference of the topological and Liouville entropies and has vanishing second derivative iff Ω is harmonic, giving a dynamical characterization of such forms. In particular, we have strict convexity for Euler-Lagrange deformations." @default.
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- W2052807096 date "2000-07-18" @default.
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- W2052807096 title "Entropy rigidity and harmonic fields" @default.
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- W2052807096 doi "https://doi.org/10.1088/0951-7715/13/5/317" @default.
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