Magnetic Curves in Three-Dimensional Quasi-Para-Sasakian Geometry

Numerical computing of isophote curves, general helices, and relatively normal‐slant helices in Minkowski 3‐space

“…10 Also, it is known from Physics, that when a charged particle enters the Earth's magnetic field, its path changes into a spiral with an axis parallel to field lines because of the Lorentz force. From this fact, many authors have been motivated to study magnetic curves with closed fundamental 2-form in almost contact metric 3-manifolds, Sasakian manifolds, quasi-para-Sasakian manifolds, and so forth (for details, see, for example, Calin and Crasmareanu 11 ).…”

New Version of Fermi-Walker Derivatives According to the Type-2 Bishop Frame With Energy

“…The researchers have examined the trajectories of charged particles moving in an area modeled by the homogeneous space R  2 S [4]. The notions of Tmagnetic, 1 N -magnetic and 2 N -magnetic curves and some characterizations for them in the semi-Riemannian manifolds have been determined by some researchers [5][6][7][8][9].…”

Magnetic non-null curves according to parallel transport frame in Minkowski 3-space

“…In any 3D Riemannian manifold (M; g), magnetic …elds of nonzero constant length are one to one correspondence to almost contact structure compatible to the metric g. From this fact, many authors have motivated to study magnetic curves with closed fundamental 2-form in almost contact metric 3-manifolds, Sasakian manifolds, quasi-para-Sasakian manifolds and etc (see [4], [8], [9], [5]). …”