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arxiv: 1808.10667 · v1 · pith:T2TAXJWVnew · submitted 2018-08-31 · 🧮 math.DG

On the Rigidity of Spherically Symmetric Finsler Metrics with Isotropic E-Curvature

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keywords finslersphericallysymmetriccurvaturemetricsisotropicrigidityberwald
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In the current paper, first we give the correct version of the formula for mean Berwald curvature of a spherically symmetric Finsler metric given in paper \cite{YCheWSon2015}. Further, we establish differential equations characterizing projectively as well as dually flat spherically symmetric Finsler metrics. Finally, we obtain a rigidity result on spherically symmetric Finsler metrics with isotropic $E$-Curvature.

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