On Finsler manifolds with hyperbolic geodesic flows (Q2042006)
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scientific article; zbMATH DE number 7374899
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Finsler manifolds with hyperbolic geodesic flows |
scientific article; zbMATH DE number 7374899 |
Statements
On Finsler manifolds with hyperbolic geodesic flows (English)
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26 July 2021
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Let \((M,F)\) be a closed \(C^{\infty}\) Finsler manifold and \(\varphi\) be its geodesic flow. If \(\varphi\) is Anosov the author extends to the Finsler setting a Riemannian vanishing result of \textit{M. Gromov} [J. Differ. Geom. 33, No. 1, 263--292 (1991; Zbl 0719.53042)] about the \(L^{\infty}\)-cohomology.
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Finsler metric
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Kähler hyperbolicity
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Anosov flow
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