{"title":"海森堡群中的三次谐波曲线","authors":"B. Senoussi","doi":"10.1080/1726037X.2022.2063407","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we study triharmonic curves in Heisenberg group . We give necessary and sufficient conditions for helices to be triharmonic. We characterize the triharmonic curves in terms of their curvature and torsion.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"20 1","pages":"55 - 65"},"PeriodicalIF":0.4000,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Triharmonic Curves in Heisenberg Group\",\"authors\":\"B. Senoussi\",\"doi\":\"10.1080/1726037X.2022.2063407\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we study triharmonic curves in Heisenberg group . We give necessary and sufficient conditions for helices to be triharmonic. We characterize the triharmonic curves in terms of their curvature and torsion.\",\"PeriodicalId\":42788,\"journal\":{\"name\":\"Journal of Dynamical Systems and Geometric Theories\",\"volume\":\"20 1\",\"pages\":\"55 - 65\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Dynamical Systems and Geometric Theories\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1726037X.2022.2063407\",\"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.2022.2063407","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract In this paper, we study triharmonic curves in Heisenberg group . We give necessary and sufficient conditions for helices to be triharmonic. We characterize the triharmonic curves in terms of their curvature and torsion.
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