Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Sep 2023)

A study on magnetic curves in trans-Sasakian manifolds

  • Bozdağ Şerife Nur

DOI
https://doi.org/10.2478/auom-2023-0031
Journal volume & issue
Vol. 31, no. 3
pp. 47 – 60

Abstract

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In this paper, we focused on biharmonic, f-harmonic and f-biharmonic magnetic curves in trans-Sasakian manifolds. Moreover, we obtain necessary and su cient conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic and f-biharmonic. We investigate the states of these conditions in α-Sasakian, β-Kenmotsu and cosymplectic manifolds. Besides, we obtain some nonexistence theorems.

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