摘要
For a Riemannian manifold（Mn,g） with curvature tensor R,the Jacobi operator J（X） is give.In this paper,the flat Riemannian manifolds are characterized in terms of special commutation properties of their Jacobi operators.
For a Riemannian manifold（Mn,g） with curvature tensor R,the Jacobi operator J（X） is give.In this paper,the flat Riemannian manifolds are characterized in terms of special commutation properties of their Jacobi operators.
基金
Sponsored by the National Natural Science Foundation of China(10871218)
