Surface pencil with a common line of curvature in Minkowski 3-space

被引：0
作者：
Evren Ergün
Ergin Bayram
Emin Kasap
机构：
[1] Ondokuz Mayıs University,Çarşamba Chamber of Commerce Vocational School
[2] Ondokuz Mayıs University,Faculty of Arts and Sciences, Mathematics Department
来源：
Acta Mathematica Sinica, English Series | 2014年 / 30卷
关键词：
Minkowski space; line of curvature; surface pencil; 53B30; 51B20; 53C50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we analyze the problem of constructing a surface pencil from a given spacelike (timelike) line of curvature. Using the Frenet frame of the given line of curvature in Minkowski 3-space, we express the surface pencil as a linear combination of this frame and derive the necessary and sufficient conditions for the coefficients to satisfy the line of curvature requirement. We illustrate this method by presenting some examples.
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页码：2103 / 2118
页数：15
相关论文
共 12 条
[1]  
Akutagawa K(1990)The Gauss map and spacelike surface with prescribed mean curvature in Minkowski 3-space Tohoku Math. J. 42 67-82
[2]  
Nishikawa S(2008)Surfaces with common geodesic in Minkowski 3-space Appl. Math. Comput. 177 260-270
[3]  
Kasap E(2011)Parametric representation of a surface pencil with a common line of curvature Comput. Aided Des. 43 1110-1117
[4]  
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[5]  
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[6]  
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