The explicit construction of Finsler metrics with special curvature properties |
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| Authors: | Xiaohuan Mo Chunhong Yang |
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| Institution: | a Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China
b Department of Mathematics, Inner Mongolia University, Inner Mongolia 010021, China |
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| Abstract: | The S-curvature is one of most important non-Riemannian quantities in Finsler geometry. It delicately related to Riemannian quantities. This note gives an explicit construction of 3-parameter family of non-locally projectively flat Finsler metrics of non-constant isotropic S-curvature. The necessary and sufficient condition that these Finsler metrics are of constant flag curvature is given. |
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| Keywords: | 58E20 |
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