{"title":"黎曼空间中杀戮磁矢量的磁面$\\mathbb{S}ol3$","authors":"Nourelhouda Benmensour, F. Hathout","doi":"10.33401/fujma.1163741","DOIUrl":null,"url":null,"abstract":"In this paper, we determine, in 3-dimensional homogenous Riemannian space $% \n\\mathbb{S}ol3$, the parametric flux surfaces according to Killing magnetic \nvectors and its associate scalar flux functions. An examples of shush \nsurfaces are presented with a graphical representation in Euclidean space.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Flux surfaces according to Killing magnetic vectors in Riemannian space $\\\\mathbb{S}ol3$\",\"authors\":\"Nourelhouda Benmensour, F. Hathout\",\"doi\":\"10.33401/fujma.1163741\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we determine, in 3-dimensional homogenous Riemannian space $% \\n\\\\mathbb{S}ol3$, the parametric flux surfaces according to Killing magnetic \\nvectors and its associate scalar flux functions. An examples of shush \\nsurfaces are presented with a graphical representation in Euclidean space.\",\"PeriodicalId\":199091,\"journal\":{\"name\":\"Fundamental Journal of Mathematics and Applications\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fundamental Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33401/fujma.1163741\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamental Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33401/fujma.1163741","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Flux surfaces according to Killing magnetic vectors in Riemannian space $\mathbb{S}ol3$
In this paper, we determine, in 3-dimensional homogenous Riemannian space $%
\mathbb{S}ol3$, the parametric flux surfaces according to Killing magnetic
vectors and its associate scalar flux functions. An examples of shush
surfaces are presented with a graphical representation in Euclidean space.