<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>In this paper, we focused on biharmonic, <italic>f</italic>-harmonic and <italic>f</italic>-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, <italic>f</italic>-harmonic and <italic>f</italic>-biharmonic. We investigate the states of these conditions in <italic>α</italic>-Sasakian, <italic>β</italic>-Kenmotsu and cosymplectic manifolds. Besides, we obtain some nonexistence theorems.</p>
</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.

A study on magnetic curves in trans-Sasakian manifolds

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A study on magnetic curves in trans-Sasakian manifolds"}

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...

A study on magnetic curves in trans-Sasakian manifolds

Published Online: Oct 21, 2023

Page range: 47 - 60

Received: Sep 25, 2022

Accepted: Dec 22, 2022

DOI: https://doi.org/10.2478/auom-2023-0031

Keywords
Magnetic curves, Legendre curves, Trans-Sasakian Manifolds, Biharmonic curves, -Harmonic curves, -Biharmonic curves

© 2023 Şerife Nur Bozdağ, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A study on magnetic curves in trans-Sasakian manifolds

Published Online: Oct 21, 2023

Page range: 47 - 60

Received: Sep 25, 2022

Accepted: Dec 22, 2022

DOI: https://doi.org/10.2478/auom-2023-0031

KeywordsMagnetic curves, Legendre curves, Trans-Sasakian Manifolds, Biharmonic curves, -Harmonic curves, -Biharmonic curves

© 2023 Şerife Nur Bozdağ, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Magnetic curves, Legendre curves, Trans-Sasakian Manifolds, Biharmonic curves, -Harmonic curves, -Biharmonic curves