{"title":"Geometry of mixed generalized quasi-Einstein warped products admitting affine connections","authors":"Santu Dey, Sampa Pahan","doi":"10.1007/s11565-022-00449-y","DOIUrl":null,"url":null,"abstract":"<div><p>We study mixed generalized quasi-Einstein warped products with respect to affine connection for arbitrary dimension <span>\\(n \\ge 3\\)</span>. Then we prove a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold with respect to affine connection under some certain conditions. In the last section we also give some examples of warped product on mixed generalized quasi-Einstein manifold.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"69 2","pages":"483 - 504"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-022-00449-y","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: 1
Abstract
We study mixed generalized quasi-Einstein warped products with respect to affine connection for arbitrary dimension \(n \ge 3\). Then we prove a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold with respect to affine connection under some certain conditions. In the last section we also give some examples of warped product on mixed generalized quasi-Einstein manifold.
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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