Null Curve Evolution in Four-Dimensional Pseudo-Euclidean Spaces

被引：1

作者：

del Amor, Jose ^{[1
]}

Gimenez, Angel ^{[2
]}

Lucas, Pascual ^{[1
]}

机构：

[1] Univ Murcia, Dept Matemat, Campus Espinardo, E-30100 Murcia, Spain

[2] Univ Miguel Hernandez Elche, Ctr Invest Operat, Ave Univ S-N, Alicante 03202, Spain

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2016年 / 2016卷

关键词：

LIE-ALGEBRA STRUCTURE; INTEGRABLE SYSTEMS; EQUATIONS; CLASSIFICATION; PARTICLES; GEOMETRY;

D O I：

10.1155/2016/5725234

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We define a Lie bracket on a certain set of local vector fields along a null curve in a 4-dimensional semi-Riemannian space form. This Lie bracket will be employed to study integrability properties of evolution equations for null curves in a pseudo-Euclidean space. In particular, a geometric recursion operator generating infinitely many local symmetries for the null localized induction equation is provided.

引用

页数：15

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