{"title":"On Ricci solitons with quarter-symmetric connection","authors":"Mehraj Ahmad Lone, Idrees Fayaz Harry","doi":"10.1007/s11587-024-00851-y","DOIUrl":null,"url":null,"abstract":"<p>In this article, we study some properties of Ricci solitons with quarter-symmetric connection, when the <i>soliton vector field</i> is torse-forming. We also study some applications of quarter-symmetric connection on Riemannian submanifolds. This paper extends the results obtained by Ozgur (Filomat, 35:11(2021), 3635-3641) to the setting of quarter-symmetric connections.\n</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"191 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ricerche di Matematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11587-024-00851-y","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we study some properties of Ricci solitons with quarter-symmetric connection, when the soliton vector field is torse-forming. We also study some applications of quarter-symmetric connection on Riemannian submanifolds. This paper extends the results obtained by Ozgur (Filomat, 35:11(2021), 3635-3641) to the setting of quarter-symmetric connections.
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“Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.
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