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
1Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey-Calavi, Porto-Novo BP 613, Benin
2Institut Universitaire de Technologie, Université de Parakou, Benin
Received 5 August 2004; Revised 15 December 2004
Copyright © 2005 Jean-Pierre Ezin and Carlos Ogouyandjou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.