{"title":"关于具有四分之一对称连接的利玛窦孤子","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":"{\"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}","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}
On Ricci solitons with quarter-symmetric connection
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.
期刊介绍:
“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.