TITLE:
Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type
AUTHORS:
Carlos Ogouyandjou
KEYWORDS:
Finsler Manifold, Gromov Hyperbolic Manifold, Critical Exponent, Volume Entropy
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.8,
August
22,
2014
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.