On Optimal Inequalities for Anti-invariant Riemannian Submersions from Conformal Sasakian Space Forms

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED Advances in Applied Clifford Algebras Pub Date : 2024-01-21 DOI:10.1007/s00006-023-01312-9

Mehraj Ahmad Lone, Towseef Ali Wani

引用次数: 0

Abstract

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.

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论来自共形萨萨基空间形式的反不变黎曼潜影的最优不等式

摘要本文有两个目的。首先，我们得到了各种不等式，这些不等式涉及从保角萨萨空间形式定义到黎曼流形上的反不变黎曼潜入的水平和垂直分布的黎奇和标量曲率。其次，我们得到了上述黎曼潜影的陈-黎奇不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.

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