{"title":"Ricci soliton on the tangent bundle with semi-symmetric metric connection","authors":"H. Dida, F. Hathout","doi":"10.31926/but.mif.2021.1.63.2.4","DOIUrl":null,"url":null,"abstract":"In this paper, we studied the tangent bundle endowed with semi-symmetric metric connection obtained by vertical and complete lifts of a semi-symmetric metric P-connection on the base manifold. Firstly, we give a relationships between (TM; gc) and (M; g) to be an Einstein manifolds. Secondly, we investigate necessary and su cient conditions for (TM; gc) with complete and vertical lift of torqued potential elds to be Ricci soliton.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2021.1.63.2.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we studied the tangent bundle endowed with semi-symmetric metric connection obtained by vertical and complete lifts of a semi-symmetric metric P-connection on the base manifold. Firstly, we give a relationships between (TM; gc) and (M; g) to be an Einstein manifolds. Secondly, we investigate necessary and su cient conditions for (TM; gc) with complete and vertical lift of torqued potential elds to be Ricci soliton.
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