{"title":"欧几里得4空间中扩展达布坐标系下的Smarandache曲线","authors":"Bahar Uyar Düldül","doi":"10.20967/JCSCM.2019.02.001","DOIUrl":null,"url":null,"abstract":"In this paper, considering the extended Darboux frame in Euclidean 4-space, we define some special Smarandache curves. We calculate the Frenet apparatus of these curves depending on the invariants of the extended Darboux frame of second kind.","PeriodicalId":374608,"journal":{"name":"Journal of Computer Science & Computational Mathematics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space\",\"authors\":\"Bahar Uyar Düldül\",\"doi\":\"10.20967/JCSCM.2019.02.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, considering the extended Darboux frame in Euclidean 4-space, we define some special Smarandache curves. We calculate the Frenet apparatus of these curves depending on the invariants of the extended Darboux frame of second kind.\",\"PeriodicalId\":374608,\"journal\":{\"name\":\"Journal of Computer Science & Computational Mathematics\",\"volume\":\"56 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computer Science & Computational Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20967/JCSCM.2019.02.001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computer Science & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20967/JCSCM.2019.02.001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space
In this paper, considering the extended Darboux frame in Euclidean 4-space, we define some special Smarandache curves. We calculate the Frenet apparatus of these curves depending on the invariants of the extended Darboux frame of second kind.