The aim of this paper is two-fold. First, we obtain various inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of anti-invariant Riemannian submersion defined from conformal Sasakian space form onto a Riemannian manifold. Second, we obtain the Chen–Ricci inequality for the said Riemannian submersion.

中文翻译：

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共形 Sasak 空间形式反不变黎曼淹没的最优不等式

本文的目的有两个。首先，我们获得了各种不等式，其中涉及从共形 Sasak 空间形式到黎曼流形定义的反不变黎曼淹没的水平和垂直分布的 Ricci 和标量曲率。其次，我们得到了上述黎曼淹没的 Chen-Ricci 不等式。