Minkowski空间中定向曲面上的第二类松弛弹性线

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Relaxed Elastic Lines of Second Kind on an Oriented Surface in Minkowski Space

Department of Mathematics, Faculty of Science and Arts, Ondokuz Mays University, Kurupelit-Samsun, 55139, Turkey

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．
- 弹性线 /
- 测地线 /
- Minkowski空间 /
- Euler-Lagrange方程
Abstract: The relaxed elastic line of second kind on an or iented 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-Lagr ange equations were derived.Further more,whether these curve lie on a curvature line or not is investigated and some applications are given.
- elastic line /
- geodesic /
- Minkowski space /
- Euler-Lagrange equation

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