三维欧氏空间中的螺旋面

Helicoidal surfaces in 3-dimensional Euclidean space

构造了三维欧氏空间R^3中的螺旋面,该螺旋面平均曲率H和Gauss曲率K满足线性关系lH+K=c(l≠0),并讨论了这类曲面的广泛存在性。

In this paper; helicoidal surface in Euclidean space R3 is discussed and a two-parametric family of helicoidal surface is constructed with mean curvature Hand Gauss curvature K satisfying IH＋K=c, where l, c are two constants （l≠0）.