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Title of Journal: Arch Math

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Abbravation: Archiv der Mathematik

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SP Birkhäuser Verlag Basel

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10.1007/bf00931529

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1420-8938

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Gromov hyperbolicity of negatively curved Finsler

Authors: Yong Fang
Publish Date: 2011/07/27
Volume: 97, Issue: 3, Pages: 281-
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Abstract

Let M F be a closed C ∞ Finsler manifold The lift of the Finsler metric F to the universal covering space defines an asymmetric distance widetilde d on widetilde M It is wellknown that the classical comparison theorem of Aleksandrov does not exist in the Finsler setting Therefore it is necessary to introduce new Finsler tools for the study of the asymmetric metric space widetilde M widetilde d In this paper by using the geometric flip map and the unstablestable angle introduced in 2 we prove that if M F is a closed Finsler manifold of negative flag curvature then widetilde M widetilde d is an asymmetric δhyperbolic space in the sense of Gromov

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