Spherically symmetric Finsler metrics with Scalar Flag Curvature

In this paper, we study spherically symmetric Finsler metrics F=|y|phi(|x|,frac{}{|y|}), where x in B^n(r) subset R^n, y in T_xB^n(r){0} and phi:[0,r)times R rightarrow R. By investigating a PDE equivalent to these metrics being locally projectively flat, we manufacture projectively flat spherically symmetric Finsler metrics in terms of error functions and, using Shen s result, we give its flag curvature.