Shape operator $A_H$ for slant submanifolds in generalized complex space forms

Shape operator $A_H$ for slant submanifolds in generalized complex space forms

In this article, we establish an inequality between the sectional curvature function K and the shape operator $A_H$ at the mean curvature vector for slant submanifolds in generalized complex space forms. Also a sharp relationship between the k-Ricci curvature and the shape operator $A_H$ is proved.

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