The Hyperbolic Darboux Image and Rectifying Gaussian Surface of Nonlightlike Curve in Minkowski 3-Space  

作　　者：CHE Ming Gang JIANG Yang PEI Dong He 

机构地区：[1]Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China [2]Department of Mathematics, Jilin Normal University, Jilin 136000, China [3]Department of Mathematics, Yangtze Normal University, Chongqing 408000, China

出　　处：《Journal of Mathematical Research and Exposition》2008年第3期651-658,共8页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China （No. 10471020）; the Program for New Century Excellent Talents in University of China （No. 05-0319）.

摘　　要：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.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.

关 键 词：Minkowski 3-space nonlightlike curve hyperbolic Darboux image rectifying Gaussian surface singularity. 

分 类 号：O186.1[理学—数学]