Differentiability and analycity of topological entropy for Anosov and geodesic flows.
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Inventiones mathematicae
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Displaying similar documents to “On the Hausdorff Dimension of CAT(κ) Surfaces”
Differentiability and analycity of topological entropy for Anosov and geodesic flows.
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We consider the Hausdorff metric on the space of compact convex subsets of a proper, geodesically complete metric space of globally non-positive Busemann curvature in which geodesics do not split, and characterize their surjective isometries. Moreover, an analogous characterization of the surjective isometries of the space of compact subsets of a proper, uniquely geodesic, geodesically complete metric space in which geodesics do not split is given.
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Lorentzian surfaces in Lorentz three-space are studied using an indefinite version of the quaternions. A classification theorem for Bonnet pairs in Lorentz three-space is obtained.
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