International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 6, Pages 875-893
doi:10.1155/IJMMS.2005.875

Volume growth and closed geodesics on Riemannian manifolds of hyperbolic type

Abstract

We study the volume growth function of geodesic spheres in the universal Riemannian covering of a compact manifold of hyperbolic type. Furthermore, we investigate the growth rate of closed geodesics in compact manifolds of hyperbolic type.