摘要
研究管状曲面和它的平行曲面的奇点问题.所谓管状曲面,是沿着E3里一条曲线的双参数空间运动产生的.选定曲线的Frenet向量T作为旋转轴,用不同的方法得到了运动管状曲面的特征.然后,给出管状曲面奇点的一些定理和结果.
In this study,singular points of tubular surface which is founded by using two-parameter spatial motion along a curve in Euclidean 3-space and its paralel surface are investigated.When rotation axis is chosen as T which is Frenet vector of curve,characterizations of tubular surface in motion is obtained by different method.Then,some theorems and results of singular points of tubular surface are given.
出处
《徐州师范大学学报（自然科学版）》
CAS
2009年第4期30-33,共4页
Journal of Xuzhou Normal University(Natural Science Edition)
关键词
双参数运动
沿曲线运动
管状曲面
奇点
平行曲面
two-parameter motion
motion along a curve
tubular surface
singular point
parallel surface
