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On Finsler manifolds with hyperbolic geodesic flows
Archiv der Mathematik ( IF 0.5 ) Pub Date : 2021-05-04 , DOI: 10.1007/s00013-021-01607-y
Yong Fang

Let (MF) be a closed \(C^\infty \) Finsler manifold and \(\varphi \) its geodesic flow. In the case that \(\varphi \) is Anosov, we extend to the Finsler setting a Riemannian vanishing result of M. Gromov about the \(L^\infty \)-cohomology.



中文翻译:

关于具有双曲测地流的Finsler流形

令(M,  F)为闭合的\(C ^ \ infty \) Finsler流形和\(\ varphi \)为其测地流。在\(\ varphi \)是Anosov的情况下,我们扩展到Finsler,设置M. Gromov关于\(L ^ \ infty \)-同调的黎曼消失结果。

更新日期:2021-05-05
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