Some classes of sprays in projective spray geometry |
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Authors: | Guojun Yang |
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Institution: | Department of Mathematics, Sichuan University, Chengdu 610064, PR China |
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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. |
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Keywords: | 53A20 53C60 53B40 |
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