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。
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.
关键词
切向量
法向量
联络系数
逆阵
曲面
正交曲线网
教育处
tangential component
normal component
coefficient of connection
inverse matrix
