三维Minkowski空间中非类光曲线的双曲达布像和从切高斯曲面

时间:2023-04-26 21:26:58 数理化学论文 我要投稿
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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  

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