On some classes of projectively flat Finsler metrics with constant flag curvature |
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| Affiliation: | 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, PR China;2. Beijing Huairou No.1 High School, Beijing 101400, PR China |
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| Abstract: | In this paper, we give the equivalent PDEs for projectively flat Finsler metrics with constant flag curvature defined by a Euclidean metric and two 1-forms. Furthermore, we construct some classes of new projectively flat Finsler metrics with constant flag curvature by solving these equivalent PDEs. |
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| Keywords: | Finsler metric Projectively flat Constant flag curvature |
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