{"title":"关于-齐次双翘曲和双调和映射","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":"{\"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}","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}
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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