E^3中曲面的无穷小Φ_r-等距

The infinitesimal Φrisometry of surfaces in E3

首先引进了Ｅ３中光滑曲面片Ｍ的基本Φｒ形式及无穷小Φｒ等距的概念．由此，得到了Ｍ分别为全脐、可展、极小的条件，并着重给出了无穷小Φｒ＋１等距与无穷小Φｒ等距的关系．这是经典的曲面基本形式及等距变形理论的直接推广．

he concepts of the fundamental Φrform and infinitesimal Φrisometry of a smooth surface M in E3 are introduced. The relations between infinitesimal Φr+1isometry and infinitesimal Φrisometry.