The General Spherically Symmetric Finsler Metrics with Isotropic E-Curvature

Abstract

In this paper, we classify general spherically symmetric Finsler metrics F=r phi(u,s,v,t) with isotropic E-curvature and isotropic S-curvature. We prove that F is of isotropic E-curvature if and only if it is of isotropic S-curvature. Moreover, as an application, we construct an explicit solution of phi of a special class of general spherically symmetric Finsler metrics F with isotropic E-curvature.