Publikationsdatum:
2016-06-03
Beschreibung:
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.
Print ISSN:
1687-9120
Digitale ISSN:
1687-9139
Thema:
Mathematik
,
Physik
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