ELASTICA ON 2-DIMENSIONAL ANTI-DE SITTER SPACE

被引：7

作者：

Yucesan, Ahmet ^{[1
]}

Oral, Mehmet ^{[2
]}

机构：

[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

[2] Suleyman Demirel Univ, Grad Sch Nat & Appl Sci, TR-32260 Isparta, Turkey

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2011年 / 8卷 / 01期

关键词：

Elastic curve; Euler-Lagrange equations; Darboux frame; geodesic curvature; anti-de Sitter space;

D O I：

10.1142/S0219887811005002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive differential equations for non-null elastic curves on 2-dimensional anti-de Sitter space. Then, we solve these differential equations in terms of Jacobi's elliptic functions. Also, we give a relation between curvature and torsion of elastic curve on 2-dimensional anti-de Sitter space.

引用

页码：107 / 113

页数：7

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