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 conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic and f-biharmonic. We investigate the states of...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-09-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2023-0031 |
| _version_ | 1797653359976513536 |
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| author | Bozdağ Şerife Nur |
| author_facet | Bozdağ Şerife Nur |
| author_sort | Bozdağ Şerife Nur |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T16:43:32Z |
| format | Article |
| id | doaj.art-a5e4b541ca224d4ebd2fee5a98c182e5 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-03-11T16:43:32Z |
| publishDate | 2023-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-a5e4b541ca224d4ebd2fee5a98c182e52023-10-23T07:51:32ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352023-09-01313476010.2478/auom-2023-0031A study on magnetic curves in trans-Sasakian manifoldsBozdağ Şerife Nur0Department of Mathematics, Ege University, 35100Izmir, TurkeyIn 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.https://doi.org/10.2478/auom-2023-0031magnetic curveslegendre curvestrans-sasakian manifoldsbiharmonic curvesf-harmonic curvesf-biharmonic curvesprimary 53d15, 53c25secondary 58e20, 53c43 |
| spellingShingle | Bozdağ Şerife Nur A study on magnetic curves in trans-Sasakian manifolds Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica magnetic curves legendre curves trans-sasakian manifolds biharmonic curves f-harmonic curves f-biharmonic curves primary 53d15, 53c25 secondary 58e20, 53c43 |
| title | A study on magnetic curves in trans-Sasakian manifolds |
| title_full | A study on magnetic curves in trans-Sasakian manifolds |
| title_fullStr | A study on magnetic curves in trans-Sasakian manifolds |
| title_full_unstemmed | A study on magnetic curves in trans-Sasakian manifolds |
| title_short | A study on magnetic curves in trans-Sasakian manifolds |
| title_sort | study on magnetic curves in trans sasakian manifolds |
| topic | magnetic curves legendre curves trans-sasakian manifolds biharmonic curves f-harmonic curves f-biharmonic curves primary 53d15, 53c25 secondary 58e20, 53c43 |
| url | https://doi.org/10.2478/auom-2023-0031 |
| work_keys_str_mv | AT bozdagserifenur astudyonmagneticcurvesintranssasakianmanifolds AT bozdagserifenur studyonmagneticcurvesintranssasakianmanifolds |