The Flag Curvature Of Indicatries In Randers Spaces

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.