Randers Spaces with Scalar Flag Curvature

Let (M, F) be an n-dimensional Randers space with scalar flag curvature. In this paper, we will introduce the definition of a weak Einstein manifold. We can prove that if (M, F) is a weak Einstein manifold, then the flag curvature is constant.

Automated summary

This paper introduces the definition of a weak Einstein manifold and proves that if (M, F) is a weak Einstein manifold, then the flag curvature is constant.