Geodesic
Magnetic Frenet curves on para-Sasakian manifolds
Filomat, Tome 37 (2023) no. 5, p. 1479

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DOI

The study of magnetic curves, seen as solutions of Lorentz equation, has been done mainly in 3-dimensional case, motivated by theoretical physics. Then it was extended in higher dimensions, as for instance in Kählerian or Sasakian frame. This paper deals for the first time in literature with magnetic Frenet curves in higher dimensional paracontact context. Several classifications are provided here for different types of magnetic curves on para-Sasakian manifolds. Some relations between magnetic Frenet curves and Lorenz force are obtained on these spaces and examples of magnetic curves associated to paracontact magnetic fields are constructed. Some explicit equations of the paracontact magnetic curves on the classical para-Sasakian manifold (R 2n+1 , φ, ξ, η,) are given at the end.
DOI : 10.2298/FIL2305479B
Classification : 53C15, 53C25, 53C30, 37J45, 53C80
Keywords: paracontact magnetic field, magnetic curve, para-Sasakian manifold 
Cornelia-Livia Bejan; Tran Quoc Binh; Simona-Luiza Druţa-Romaniuc. Magnetic Frenet curves on para-Sasakian manifolds. Filomat, Tome 37 (2023) no. 5, p. 1479 . doi: 10.2298/FIL2305479B
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     title = {Magnetic {Frenet} curves on {para-Sasakian} manifolds},
     journal = {Filomat},
     pages = {1479 },
     year = {2023},
     volume = {37},
     number = {5},
     doi = {10.2298/FIL2305479B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2305479B/}
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