Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type

Carlos Ogouyandjou

Institut de Mathematiques et de Sciences Physiques (IMSP), Universite d’Abomey-Calavi, Porto-Novo, Republic of Benin.

DOI: 10.4236/apm.2014.48050                

Abstract

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.

Keywords

Finsler Manifold, Gromov Hyperbolic Manifold, Critical Exponent, Volume Entropy

Conflicts of Interest

The authors declare no conflicts of interest.

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