三維Minkowski空間中非類光曲線的雙曲達布像和從切高斯曲面

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： 車明剛 姜楊 裴東河 CHE Ming Gang JIANG Yang PEI Dong He   作者單位： 車明剛,CHE Ming Gang(Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China;Department of Mathematics, Jilin Normal University, Jilin 136000, China)

姜楊,JIANG Yang(Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China;Department of Mathematics, Yangtze Normal University, Chongqing 408000, China)

裴東河,PEI Dong He(Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China) 

刊 名： 數(shù)學研究與評論  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分類號： O186.1  關鍵詞： Minkowski 3-space   nonlightlike curve   hyperbolic Darboux image   rectifying Gaus-sian surface   singularity  

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