Abstract
In this paper we classify the magnetic trajectories corresponding to contact magnetic fields in Sasakian manifolds of arbitrary dimension. Moreover, when the ambient is a Sasakian space form, we prove that the codimension of the curve may be reduced to 2. This means that the magnetic curve lies on a 3-dimensional Sasakian space form, embedded as a totally geodesic submanifold of the Sasakian space form of dimension (2n+1).
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Druţă-Romaniuc, S.L., Inoguchi, Ji., Munteanu, M.I. et al. Magnetic curves in Sasakian manifolds. J Nonlinear Math Phys 22, 428–447 (2015). https://doi.org/10.1080/14029251.2015.1079426
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DOI: https://doi.org/10.1080/14029251.2015.1079426