Generalized elastica on 2-dimensional de Sitter space S12

被引：2

作者：

Huang, Rongpei ^{[1
]}

Yu, Junyan ^{[2
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Shanghai Sci & Technol Management Sch, Shanghai 200433, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2016年 / 13卷 / 04期

关键词：

Generalized elastica; Killing field; de Sitter space; CLOSED CURVES; CURVATURE; ROD;

D O I：

10.1142/S021988781650047X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the extremals of curvature energy actions on non-null regular curves in 2-dimensional de Sitter space are studied. We completely solve the Euler-Lagrange equation by quadratures. By using the Killing field, we construct three special coordinate systems and express the generalized elastica in 2-dimensional de Sitter space S-1(2) by integral explicitly.

引用

页数：7

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