On Square metrics of scalar flag curvature |
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| Authors: | Zhongmin Shen Guojun Yang |
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| Institution: | 1.Department of Mathematical Sciences,Indinana University-Purdue University Indianapolis (IUPUI),Indianapolis,USA;2.Department of Mathematics,Sichuan University,Chengdu,P. R. China |
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| Abstract: | In this paper, we study the problem whether a Finsler metric of scalar flag curvature is locally projectively flat. We consider a special class of Finsler metrics — square metrics which are defined by a Riemannian metric and a 1-form on a manifold. We show that in dimension n ≥ 3, any square metric of scalar flag curvature is locally projectively flat. |
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