| Minkowski空间中定向曲面上的第二类松弛弹性线 |
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| 引用本文： | A·图塔,A·萨里欧格卢基尔. Minkowski空间中定向曲面上的第二类松弛弹性线[J]. 应用数学和力学, 2006, 27(11): 1297-1304 |
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| 作者姓名： | A·图塔 A·萨里欧格卢基尔 |
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| 作者单位： | 昂都库兹_马伊斯大学 理学与文学学院 数学系,库鲁佩里特_山桑 55139,土耳其 |
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| 摘 要： | 在Minkowski空间中,定义了定向曲面上的第二类松弛弹性线,推导了在定向曲面上的第二类松弛弹性线的Euler-Lagrange方程．进一步阐明了，这些曲线是否落在曲率线上,最后给出相关的实例．
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| 关 键 词： | 弹性线 测地线 Minkowski空间 Euler-Lagrange方程 |
| 文章编号： | 1000-0887（2006）11-1297-08 |
| 收稿时间： | 2005-11-18 |
| 修稿时间： | 2006-07-07 |
Relaxed Elastic Lines of Second Kind on an Oriented Surface in Minkowski Space |
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| Ayhan Tutar,Ayhan Sarioglugil. Relaxed Elastic Lines of Second Kind on an Oriented Surface in Minkowski Space[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1297-1304 |
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| Authors: | Ayhan Tutar Ayhan Sarioglugil |
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| Affiliation: | Department of Mathematics, Faculty of Science and Arts, Ondokuz Mays University, Kurupelit-Samsun, 55139, Turkey |
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| Abstract: | The relaxed elastic line of second kind on an oriented surface in the Minkowski space was defined and for the relaxed elastic line of second kind which was lying on an oriented surface the Euler-Lagrange equations were derived. Furthermore, whether these curve lie on a curvature line or not is investigated and some applications are given. |
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| Keywords: | elastic line geodesic Minkowski space Euler-Lagrange equation |
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