Minkowski空间中定向曲面上的第二类松弛弹性线  

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

作　　者：A.图塔 A.萨里欧格卢基尔 

机构地区：[1]昂都库兹-马伊斯大学理学与文学学院数学系

出　　处：《应用数学和力学》2006年第11期1297-1304,共8页Applied Mathematics and Mechanics

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.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.

关 键 词：弹性线 测地线 MINKOWSKI空间 EULER-LAGRANGE方程 

分 类 号：O186.11[理学—数学] O186.12[理学—基础数学]