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

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