球面渐屈线及其奇点分类  

Spherical Evolute and its Local Diffeomorphic Types

作　　者：李芳[1] 熊剑飞[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《北方工业大学学报》2007年第3期52-57,共6页Journal of North China University of Technology

摘　　要：本文利用单位球上的测地距离定义了球面渐屈线,并研究了球面渐屈线的一些性质,同时按照Bruce J.W.和Giblin P.J.的方法利用开折理论讨论了球面渐屈线的奇点类型.In the paper, the spherical evolute by the geodesic distance on the unit sphere is defined and some of its properties are investigated. According to the method by Bruce J. W. and Giblin P. J. , the focal diffeomorphic types of the spherical evolute by unfolding theory are discussed.

关 键 词：球面曲线 球面渐屈线 奇点 

分 类 号：O19[理学—数学]