| The Hyperbolic Darboux Image and Rectifying Gaussian Surface of Nonlightlike Curve in Minkowski 3-Space |
| Received:June 08, 2006 Revised:May 23, 2007 |
| Key Words:
Minkowski 3-space nonlightlike curve hyperbolic Darboux image rectifying Gaussian surface singularity.
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| Fund Project:the National Natural Science Foundation of China (No.10471020); the Program for New Century Excellent Talents in University of China (No.05-0319). |
| Author Name | Affiliation | | CHE Ming Gang | Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China
Department of Mathematics, Jilin Normal University, Jilin 136000, China | | JIANG Yang | Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China
Department of Mathematics, Yangtze Normal University, Chongqing 408000, China | | PEI Dong He | Department of Mathematics and Statistics, Northeast Normal University, Jilin 130024, China |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.03.027 |
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