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math-ph2016★ 6 cited
Integrability aspects of the vortex filament equation for pseudo-null curves
José del Amor, Ángel Giménez, Pascual Lucas
An algebraic background in order to study the integrability properties of pseudo-null curve motions in a -dimensional Lorentzian space form is developed. As an application we de…
math-ph2016
Null curve evolution in four-dimensional pseudo-Euclidean spaces
José del Amor, Ángel Giménez, Pascual Lucas
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 integra…