{"title":"B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms","authors":"Murat Polat","doi":"10.1007/s40065-023-00453-w","DOIUrl":null,"url":null,"abstract":"<div><p>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 <span>\\(K_{s}(\\varepsilon )\\)</span>. 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 <span>\\(\\xi \\)</span>. Moreover, we acquire Chen-Ricci inequalities on the <span>\\(\\ker \\vartheta _{*}\\)</span> and <span>\\((\\ker \\vartheta _{*})^{\\bot }\\)</span> distributions for anti-invariant Riemannian submersions from Kenmotsu space forms according to vertical and horizontal cases of <span>\\(\\xi \\)</span>.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00453-w.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arabian Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40065-023-00453-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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 \(\xi \).
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.
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