Volume growth and closed geodesics on Riemannian manifolds of hyperbolic type

Jean-Pierre Ezin and Carlos Ogouyandjou

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-19

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:367829

DOI: 10.1155/IJMMS.2005.875

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