曲面的三个基本形式之间关系的注记

A NOTE OF THE RELATION AMONG THE THREE FUNDAMENTAL FORMS OF SURFACES

给出了Ｒ３中曲面的三个基本形式之间关系式的一种较为简单的证法。

A concise proof of the relation among the three fundamental forms of surfaces in R 3 is given. By using the corollary of the Weingarten formula, the relationship among the coefficient matrixes￣ of the three fundamental forms is extended on hypersurfaces in R n+1 (n≥3).