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Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type

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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.
Cite this paper
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. 
 

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http://dx.doi.org/10.1007/BF02392046                         eww141222lx
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