{"title":"微分几何","authors":"Lia Vaš","doi":"10.1017/9781108854429.002","DOIUrl":null,"url":null,"abstract":"The terms xij, i, j = 1, 2 can be represented as a linear combination of tangential and normal component. Each of the vectors xij can be represented as a combination of the tangent component (which itself is a combination of vectors x1 and x2) and the normal component (which is a multiple of the unit normal vector n). Let Γij and Γ 2 ij denote the coefficients of the tangent component and Lij denote the coefficient with n of vector xij. Thus,","PeriodicalId":340802,"journal":{"name":"New Spaces in Mathematics","volume":"78 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Differential Geometry\",\"authors\":\"Lia Vaš\",\"doi\":\"10.1017/9781108854429.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The terms xij, i, j = 1, 2 can be represented as a linear combination of tangential and normal component. Each of the vectors xij can be represented as a combination of the tangent component (which itself is a combination of vectors x1 and x2) and the normal component (which is a multiple of the unit normal vector n). Let Γij and Γ 2 ij denote the coefficients of the tangent component and Lij denote the coefficient with n of vector xij. Thus,\",\"PeriodicalId\":340802,\"journal\":{\"name\":\"New Spaces in Mathematics\",\"volume\":\"78 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"New Spaces in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/9781108854429.002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Spaces in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108854429.002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
项xij, i, j = 1,2可以表示为切向分量与法向分量的线性组合。每个向量xij都可以表示为切分量(它本身是向量x1和x2的组合)和法分量(它是单位法向量n的倍数)的组合。设Γij和Γ 2ij表示切分量的系数，Lij表示向量xij的带n的系数。因此,
The terms xij, i, j = 1, 2 can be represented as a linear combination of tangential and normal component. Each of the vectors xij can be represented as a combination of the tangent component (which itself is a combination of vectors x1 and x2) and the normal component (which is a multiple of the unit normal vector n). Let Γij and Γ 2 ij denote the coefficients of the tangent component and Lij denote the coefficient with n of vector xij. Thus,
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