A study on magnetic curves in trans-Sasakian manifolds

Şerife Nur Bozdağ

doi:10.2478/auom-2023-0031

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A study on magnetic curves in trans-Sasakian manifolds

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 31 (2023): Issue 3 (September 2023)

By: Şerife Nur Bozdağ

Open Access

|Oct 2023

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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Articles in this issue

DOI: https://doi.org/10.2478/auom-2023-0031 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 47 - 60

Submitted on: Sep 25, 2022

Accepted on: Dec 22, 2022

Published on: Oct 21, 2023

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Magnetic curves,

Legendre curves,

Trans-Sasakian Manifolds,

Related subjects:

© 2023 Şerife Nur Bozdağ, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 31 (2023): Issue 3 (September 2023)