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On spherically symmetric Finsler metrics of scalar curvature
Authors:Libing Huang  Xiaohuan Mo
Affiliation:1. School of Mathematical Sciences, Nankai University, Tianjin 300071, China;2. Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China
Abstract:Spherically symmetric Finsler metrics form a rich class of Finsler metrics. In this paper we find equations that characterize spherically symmetric Finsler metrics of scalar flag curvature. By using these equations, we construct infinitely many non-projectively flat spherically symmetric Finsler metrics of scalar curvature.
Keywords:58E20
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