{"title":"曲率为E_1^3的新正交坐标系下空间曲线的不可扩展流","authors":"Alperen KIZILAY, Atakan Tuğkan YAKUT","doi":"10.36890/iejg.1274663","DOIUrl":null,"url":null,"abstract":"Using a new orthogonal frame with curvature in $E_1^3$ and we put forth a new general formulation for inextensible flows of space curves in this work. We demonstrate presufficient conditions and prove the necessary conditions for inextensible curve flow which is a partial differential equations (PDE) incorporating the curvatures and torsion.","PeriodicalId":43768,"journal":{"name":"International Electronic Journal of Geometry","volume":"59 19","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inextensible flows of space curves according to a new orthogonal frame with curvature in E_1^3\",\"authors\":\"Alperen KIZILAY, Atakan Tuğkan YAKUT\",\"doi\":\"10.36890/iejg.1274663\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using a new orthogonal frame with curvature in $E_1^3$ and we put forth a new general formulation for inextensible flows of space curves in this work. We demonstrate presufficient conditions and prove the necessary conditions for inextensible curve flow which is a partial differential equations (PDE) incorporating the curvatures and torsion.\",\"PeriodicalId\":43768,\"journal\":{\"name\":\"International Electronic Journal of Geometry\",\"volume\":\"59 19\",\"pages\":\"0\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Electronic Journal of Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36890/iejg.1274663\",\"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":"International Electronic Journal of Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36890/iejg.1274663","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Inextensible flows of space curves according to a new orthogonal frame with curvature in E_1^3
Using a new orthogonal frame with curvature in $E_1^3$ and we put forth a new general formulation for inextensible flows of space curves in this work. We demonstrate presufficient conditions and prove the necessary conditions for inextensible curve flow which is a partial differential equations (PDE) incorporating the curvatures and torsion.
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