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1·This decomposition may give another definition of high order tensor's covariant derivative.

这种分解可以给出高阶张量协变导数的另一种定义。

2·We obtain two formulas about the covariant derivative of the coordinate functions on the unit sphere in Eucdidean space.

得到了欧氏空间中，单位球面上坐标函数关于某一特定标架场的协变微分的两个等式。

3·This paper discusses another way, which is rewritten as product of a few contravariant vectors and covariant vectors, to define higher order tensors covariant derivative through transformations.

通过把高阶张量写成若干逆变和协变矢量的乘积，直接从变换入手，给出了定义高阶张量协变导数的另一种方法。