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
Jean-Pierre Ezin
and Carlos Ogouyandjou
Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey-Calavi, Porto-Novo BP 613, Benin
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.