In this paper, we introduce the notion of \(*\)-slant submanifold as that slant submanifold whose second fundamental form satisfies the equality case of an inequality between its mean curvature and its scalar curvature. In addition to that, we give several interesting examples about these submanifolds. Finally, we obtain the Ricci curvature for a \(*\)-slant submanifold depending on the mean curvature vector and we give lower and upper bounds for the Ricci curvature.

中文翻译：

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广义Sasakian空间形式的一类新的倾斜子流形

在本文中，我们引入\（* \）-倾斜子流形的概念，作为其第二基本形式满足平均曲率和标量曲率不等式相等情况的那个倾斜子流形。除此之外，我们还提供了一些有关这些子流形的有趣示例。最后，我们根据平均曲率向量获得\（* \）倾斜子流形的Ricci曲率，并给出Ricci曲率的上下限。