A study on magnetic curves in trans-Sasakian manifolds

Bozdağ, Şerife Nur

doi:10.2478/auom-2023-0031

Abstract

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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A study on magnetic curves in trans-Sasakian manifolds

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