On a class of projectively flat Finsler metrics

In this paper, we classify locally projectively flat general (α,β)(α,β)-metrics F=αϕ(b2,βα) on an n(≥3)n(≥3)-dimensional manifold if α   is of constant sectional curvature and ϕ1≠0ϕ1≠0. Furthermore, we find equations to characterize this class of metrics with constant flag curvature and determine their local structures.