摘要
系统论证了曲面的三种基本形式在欧氏变换下不变的性质,从而曲面的基本特征在正交变换下也是固定的。推证了(xA)×(yA)=(x×y)A*T等一些向量的运算的公式。
The article methodically proves the invariance of three kinds of surface fundamental forms under orthogonal transformation. Therefore the surface fundamental characteristic is also unchanging under orthogonal transformation. In order to prove this, the author sums up simple operational formulas such as（xA） ×（yA）=（xxy）A^＊T and so on. These simple operational formulas provide convenience for the articles proof.
出处
《唐山师范学院学报》
2007年第5期61-62,共2页
Journal of Tangshan Normal University
关键词
基本形式
基本量
法曲率
平均曲率
fundamental form
fundamental quantity
normal curvature
mean curvature
