| In this paper,we study the flag curvature of indicatries in Randers spaces.We show that if the Minkowski space Rn is of Randers metric F, and its indicatrix SF={y∈Rn|F(y)=1} has constant flag curvature,then F must be Euclidean. The conclusion is also true for SF(r)={y∈Rn|F(y)=r}, where r is a positive constant. We also show that the flag curvature of SF is not always positive everywhere. |
