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Some classes of sprays in projective spray geometry
Authors:Guojun Yang
Institution:Department of Mathematics, Sichuan University, Chengdu 610064, PR China
Abstract:This paper studies some properties of projective changes in spray and Finsler geometry. Firstly, it obtains a comparison theorem on Ricci curvature for projectively related Finsler metrics. Secondly, it studies the properties of a class of projectively flat sprays, which particularly shows that there exist many isotropic sprays that cannot be induced by any (even singular) Finsler metrics.
Keywords:53A20  53C60  53B40
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