Null Curve Evolution in Four-Dimensional Pseudo-Euclidean Spaces

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 recursi...

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Bibliographic Details
Main Authors: José del Amor, Ángel Giménez, Pascual Lucas
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/5725234
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