三维Minkowski空间中非类光曲线的双曲达布像和从切高斯曲面
In this paper, we give the classification of the singularities of hyperbolic Darboux image and rectifying Gaussian surface of nonlightlike curve in Minkowski 3-space. We establish the relationship between the singularities and the geometric invariants of curves which are deeply related to its order of contact with helices.
作 者： 车明刚 姜杨 裴东河 CHE Ming Gang JIANG Yang PEI Dong He 作者单位： 车明刚,CHE Ming Gang(Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China;Department of Mathematics, Jilin Normal University, Jilin 136000, China)姜杨,JIANG Yang(Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China;Department of Mathematics, Yangtze Normal University, Chongqing 408000, China)
裴东河,PEI Dong He(Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China)
刊 名： 数学研究与评论 ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年，卷(期)： 2008 28(3) 分类号： O186.1 关键词： Minkowski 3-space nonlightlike curve hyperbolic Darboux image rectifying Gaus-sian surface singularity