{"title":"关于固有双调和矢量场的一些结果","authors":"N. Djaa, M. Djaa","doi":"10.31926/but.mif.2023.3.65.1.9","DOIUrl":null,"url":null,"abstract":"In this paper, we establish necessary and sufficient conditions under which a vector field be biharmonic on the Riemannian manifold. We also construct some examples of proper biharmonic vector fields from a resolution of differential equations. \n","PeriodicalId":53266,"journal":{"name":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","volume":"42 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some results on proper biharmonic vector field\",\"authors\":\"N. Djaa, M. Djaa\",\"doi\":\"10.31926/but.mif.2023.3.65.1.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we establish necessary and sufficient conditions under which a vector field be biharmonic on the Riemannian manifold. We also construct some examples of proper biharmonic vector fields from a resolution of differential equations. \\n\",\"PeriodicalId\":53266,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov Series V Economic Sciences\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov Series V Economic Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2023.3.65.1.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2023.3.65.1.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we establish necessary and sufficient conditions under which a vector field be biharmonic on the Riemannian manifold. We also construct some examples of proper biharmonic vector fields from a resolution of differential equations.
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