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目前显示的是标签为“Finsler Manifold”的博文

Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48977#.VJd3ScCAM4 Author(s) Carlos Ogouyandjou Affiliation(s) Institut de Mathematiques et de Sciences Physiques (IMSP), Universite d’Abomey-Calavi, Porto-Novo, Republic of Benin . 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. KEYWORDS Finsler Manifold , Gromov Hyperbolic Manifold , Critical Exponent , Volume Entropy Cite thi...