{"title":"On the -Homothetic BI-Warping and Biharmonic Maps","authors":"Mohamed Elmahdi Abbes, S. Ouakkas","doi":"10.1080/1726037X.2020.1859802","DOIUrl":null,"url":null,"abstract":"Abstract The purpose of this paper is to study the biharmonicity of maps to or from almost contact manifolds. It also gives some results on the Fx1-homothetic bi-warping. We establish necessary and sufficient conditions under which a map of the product of a Riemannian manifold and an almost contact metric manifold is harmonic or biharmonic and we have constructed several examples.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"281 - 309"},"PeriodicalIF":0.4000,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1859802","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2020.1859802","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: 1
Abstract
Abstract The purpose of this paper is to study the biharmonicity of maps to or from almost contact manifolds. It also gives some results on the Fx1-homothetic bi-warping. We establish necessary and sufficient conditions under which a map of the product of a Riemannian manifold and an almost contact metric manifold is harmonic or biharmonic and we have constructed several examples.
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