Slant Curves and Magnetic Curves

Homogeneity of magnetic trajectories in the real special linear group

“…Note that when F = 0 or q = 0, magnetic trajectories reduce to geodesics. For more information on magnetic trajectories, we refer to [18].…”

“…The contact magnetic field. The contact form η gives a left invariant magnetic field F = dη called the contact magnetic field (see [9,15,17,18]). The Lorentz force ϕ of F is given by ϕe 1 = 0, ϕe 2 = e 3 , ϕe 3 = −e 2 .…”

Magnetic Jacobi Fields in 3-Dimensional Sasakian Space Forms

“…In our previous works [22,23,24], we have investigated magnetic trajectories on contact metric 3-manifolds. To develop global geometric studies (e.g.…”