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三维Minkowski空间中非类光曲线的球面达布像
引用本文:车明刚,姜杨. 三维Minkowski空间中非类光曲线的球面达布像[J]. 松辽学刊, 2007, 28(2): 43-46
作者姓名:车明刚  姜杨
作者单位:[1]吉林师范大学数学学院,吉林四平136000 [2]长江师范学院数学系,重庆408003
摘    要:本文主要给出了三维Mirdcow幽空间中非类光曲线的球面达布像的奇点的充要条件,并且建立了奇点和曲线几何不变量之间的联系,其中曲线几何不变量与曲线同螺线切触的阶数密切相关.

关 键 词:三维Minkowski空间  非类光曲线  球面达布像  奇点
文章编号:1000-1840-(2007)02-0043-04
收稿时间:2007-02-05
修稿时间:2007-02-05

The Spherical Darboux Image of A Nonlightlike Curve in Minkowski 3-Space
CHE Ming-gang,Jiang Yang. The Spherical Darboux Image of A Nonlightlike Curve in Minkowski 3-Space[J]. Songliao Journal (Natural Science Edition), 2007, 28(2): 43-46
Authors:CHE Ming-gang  Jiang Yang
Affiliation:1. Department of Mathematics, Jilin Normal University, Siping 136000, China; 2. Department of Mathmaitics, Yangtize Normal University, Chongqing 4438003, China
Abstract:In this paper, we give the classifications of the singularities of the Spherical Darboux imaged of a nonlightlike curve in Minkowski 3 - space. Moreover we establish the relationships between singularities of these subjects and geometric invariants of curves which are deeply related to the order of contact with helices.
Keywords:Minkowski 3 - space   nonlighthke curve   Spherical Darboux image   singularities
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