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arXiv · 1808.10667

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

Gauree Shanker·Sarita Rani
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Abstract

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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Gauree Shanker, Sarita Rani. 2018-08-31. On the Rigidity of Spherically Symmetric Finsler Metrics with Isotropic $E$-Curvature. https://arxiv.org/abs/1808.10667

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