Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type - Advances in Pure Mathematics

APM > Vol.4 No.8, August 2014

Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type ()

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DOI: 10.4236/apm.2014.48050 5,470 Downloads 6,273 Views

Author(s)

Carlos Ogouyandjou

Affiliation(s)

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

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

Share and Cite:

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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