曲面的基本形式在欧氏变换下的固定性  

The Invariance of Three Kinds of Surface Fundamental Forms under Orthogonal Transformation

作　　者：孟令江[1] 

机构地区：[1]唐山师范学院数信系,河北唐山063000

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

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.

关 键 词：基本形式 基本量 法曲率 平均曲率 

分 类 号：O186[理学—数学]