Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type


Let  be a compact Finsler manifold of hyperbolic type, and  be its universal Finslerian covering. In this paper we show that the growth function of the volume of geodesic balls of  is of purely exponential type.

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Ogouyandjou, C. (2014) Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type. Advances in Pure Mathematics, 4, 391-399. doi: 10.4236/apm.2014.48050.

Conflicts of Interest

The authors declare no conflicts of interest.


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