E^3中曲面无穷小BⅡ──等距的注记

NOTE ON INFINITESIMAL B Ⅱ -ISOMETRIC ON SURFACES IN E￣3

本文继承了文献［１］的讨论，证明了在适当的边界条件下，非可展曲面Ｍ的无穷小ＢⅡ－等距Φ是关于Ｍ的无穷小刚体运动。

In this paper,we give the following result Let M:D→E3 be an undevelopable Surface,Φbe an infinitesimal B Ⅱisometric on M,If there exist a function λ M→R,such that δI=λI at each point on M,then M is an infinitesimal rigid body concernign Φ.