六维欧式空间球面曲线的一个几何性质

One Geometric Property of Spherical Curves in 6-dimensional Euclidean Space

为了探究球面曲线的几何特征,对欧式空间的公式进行了研究,将欧式空间的公式推广至6维欧式空间,给出了判定一条曲线是球面曲线的充分必要条件.

In order to explore the geometrical characteristics of spherical curves, this paper discusse~ the Frenet formula of Euclidean space. The Frenet formula of Euclidean space is extended to 6 ;dh＇nemiom,and a sufficient and necessary condition is presented to judge whether a space curve is a spherical curve.