| 曲面的联络系数Γ_(ij)~k及ω~i_j的计算 |
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| 引用本文： | i宋占奎. 曲面的联络系数Γ_(ij)~k及ω~i_j的计算[J]. 西安科技大学学报, 2003, 0(4) |
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| 作者姓名： | i宋占奎 |
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| 作者单位： | 湖北十堰职业技术学院数学教研室 湖北十堰 442000 |
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| 摘 要： | 首先给出了正交曲线网作为曲面S的参数曲线网时曲面的联络系数,即Γ111=2-1(EG-F2)-1(GE1-2FF1+FE2),Γ211=2-1(EG-F2)-1(2EF1-EE2-FE1),Γ112=2-1(EG-F2)-1(GE2-FG1),Γ212=2-1(EG-F2)-1(EG1-FE2),Γ122=2-1(EG-F2)-1(2GE2-GG1-FG2),Γ222=2-1(EG-F2)-1(EG2-2FF2+FG1)。然后给出了用曲面的第一基本形式的系数E,F,G及其偏导数表示的联络系数Γkij及ωji的计算。
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| 关 键 词： | 切向量 法向量 联络系数 逆阵 |
Computing of the connection coeffcients of a surface |
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| SONG Zhan-kui. Computing of the connection coeffcients of a surface[J]. JOurnal of XI’an University of Science and Technology, 2003, 0(4) |
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| Authors: | SONG Zhan-kui |
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| Abstract: | In this paper the author gives the coefficients of connection of a curved surface when orthogonal grid is taken as a parameter orthogonal grid of curved surface S, and finally the author gives the computation of the coefficients of connection and that are expressed by the coefficients E, F, G, which are coefficients of the primary elemental form of a surface, and their partial differentials. |
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| Keywords: | tangential component normal component coefficient of connection inverse matrix |
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