Killing magnetic curves in non-flat Lorentzian-Heisenberg spaces

In this paper, we study classification of magnetic curves corresponding to Killing vector fields of [Formula: see text]. First, we solve the geodesic equation analytically. Then we calculate the trajectories generated by all the six Killing vector fields, which are considered as magnetic field vectors, by using perturbation method up to first-order with respect to the strength of the magnetic field. We present a comparison of our solution with the numerical solution for one case. We also prove that 3-dimensional [Formula: see text]-Kenmotsu manifolds cannot have any magnetic vector field in the direction of their Reeb vector fields.

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Killing magnetic curves in non-flat Lorentzian-Heisenberg spaces

Abstract: We obtain some explicit formulas for Killing magnetic curves in non-flat Lorentzian-Heisenberg spaces.

Cited by 2 publications

References 14 publications

Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil₃

Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil₃

Classification of Killing magnetic curves in ℍ3

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Killing magnetic curves in non-flat Lorentzian-Heisenberg spaces

Abstract: We obtain some explicit formulas for Killing magnetic curves in non-flat Lorentzian-Heisenberg spaces.

Cited by 2 publications

References 14 publications

Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil3

Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil3

Classification of Killing magnetic curves in ℍ3

Contact Info

Product

Resources

About

Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil₃

Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil₃