B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2024-01-19 DOI:10.1007/s40065-023-00453-w

Murat Polat

引用次数: 0

Abstract

The aim of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of anti-invariant Riemannian submersions in Kenmotsu space forms \(K_{s}(\varepsilon )\). We give non-trivial examples for anti-invariant Riemannian submersions, investigate some curvature relations between the total space and fibres according to vertical and horizontal cases of \(\xi \). Moreover, we acquire Chen-Ricci inequalities on the \(\ker \vartheta _{*}\) and \((\ker \vartheta _{*})^{\bot }\) distributions for anti-invariant Riemannian submersions from Kenmotsu space forms according to vertical and horizontal cases of \(\xi \).

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B.Kenmotsu 空间形式中反不变黎曼潜影的里奇不等式

本文的目的是分析尖锐类型不等式，包括 Kenmotsu 空间形式 \(K_{s}(\varepsilon )\) 中反不变黎曼潜影的标量曲率和黎奇曲率。我们给出了反不变黎曼潜影的非难例，并根据 \(\xi \) 的垂直和水平情况研究了总空间和纤维之间的一些曲率关系。此外，我们根据 \(\xi \) 的垂直和水平情况，从 Kenmotsu 空间形式中获得了反不变黎曼潜影的\(\ker \vartheta _{*}\) 和 \((\ker \vartheta _{*})^{\bot }\) 分布上的 Chen-Ricci 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

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.