Killing magnetic curves in three-dimensional almost paracontact manifolds

For an arbitrary three-dimensional normal paracontact metric structure equipped with a Killing characteristic vector field, we obtain a complete classification of the magnetic curves of the corresponding magnetic field. In particular, this yields to a complete description of magnetic curves for the...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2015-06, Vol.426 (1), p.423-439
Main Authors: Calvaruso, Giovanni, Munteanu, Marian Ioan, Perrone, Antonella
Format: Article
Language:English
Subjects:
Almost paracontact metric structures
Killing vector fields
Magnetic curves
Normal structures
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Summary:For an arbitrary three-dimensional normal paracontact metric structure equipped with a Killing characteristic vector field, we obtain a complete classification of the magnetic curves of the corresponding magnetic field. In particular, this yields to a complete description of magnetic curves for the characteristic vector field of three-dimensional paraSasakian and paracosymplectic manifolds. Explicit examples are described for the hyperbolic Heisenberg group and a paracosymplectic model.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.01.057