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1·What is nilpotent structure on Riemannian manifold?

黎曼流形上的幂零结构指什么？

2·Let m be a compact and connected Riemannian manifold.

设m是紧致连通的黎曼流形。

3·Also, the paper discuss the existence of the infinite closed geodesics of a compact no-simply connected Riemannian manifold.

并由此讨论了紧致的非单连通黎曼流形上无穷多的闭测地线存在性问题。

4·In the present paper, the algebra property of Riemannian manifold which is contained some special semi symmetric connection is given.

讨论特殊半对称联络的黎曼流形，给出了该流形曲率张量的一个代数结构。

5·Einstein manifold is a particular kind of Riemannian manifold, it has good characters, its definition is weaker than Riemannian manifold with constant sectional curvature.

爱因斯坦流形是特殊的一种黎曼流形，它有很好的特征，其定义弱于常曲率黎曼流形。