Let M be a real hypersurface in complex projective space. The almost contact metric structure on M allows us to consider, for any nonnull real number k, the corresponding k-th generalized Tanaka-Webster connection on M and, associated to it, a differential operator of first order of Lie type. Considering such a differential operator and Lie derivative we define, from the structure Jacobi operator $R_{\xi }$ on M a tensor field of type $(1,2)$, $R_{{\xi }_T}^{(k)}$. We obtain some classifications of real hypersurfaces for which $R_{{\xi }_T}^{(k)}$ is either symmetric or skew symmetric.

中文翻译：

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复杂射影空间中实超曲面上的李导数和结构Jacobi算符II

令M为复投影空间中的实超曲面。几乎接触度量结构上中号允许我们考虑，对于任何非空实数ķ，相应ķ个广义田中-韦伯斯特上连接中号和，关联到它，Lie型一阶微分算子。考虑这样的微分算子和Lie导数，我们根据Jacobi算子的结构定义${\mathrm{[R}}_{\xi }$在M的张量字段上$（\mathrm{1个}，2）$， ${\mathrm{[R}}_{{\xi }_{Ť}}^{（ķ）}$。我们获得了一些实际超曲面的分类${\mathrm{[R}}_{{\xi }_{Ť}}^{（ķ）}$ 是对称或倾斜对称的。