七维欧式空间球面曲线的一个几何性质

A Geometric Property of Spherical Curve in Seven Dimensional Euclidean Spaces

本文主要利用推广至7维欧式空间的Frenet公式探讨球面曲线的几何特征,并给出了判定一条空间曲线是球面曲线的充要条件.

In this paper, we discuss geometric feature of spherical curve by using the generalized Frenet formula the 7-dimensional Euclidean space, and also obtain a necessary and sufficient condition which can be used to judge a space curve to be a spherical curve.