{"title":"允许仿射连接的混合广义拟爱因斯坦翘曲积的几何","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":"{\"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}","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}
Geometry of mixed generalized quasi-Einstein warped products admitting affine connections
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.