On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds
Abstract This paper is devoted to examine necessary and sufficient conditions for a Frenet curve to be f-harmonic, f-biharmonic, bi-f-harmonic and f-biminimal in three-dimensional $$\beta $$ β -Kenmotsu manifolds. In addition, such conditions are investigated for slant curves.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-10-01
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| Series: | Arabian Journal of Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40065-022-00405-w |
| _version_ | 1797865532406366208 |
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| author | Şerife Nur Bozdağ Selcen Yüksel Perktaş Feyza Esra Erdoğan |
| author_facet | Şerife Nur Bozdağ Selcen Yüksel Perktaş Feyza Esra Erdoğan |
| author_sort | Şerife Nur Bozdağ |
| collection | DOAJ |
| description | Abstract This paper is devoted to examine necessary and sufficient conditions for a Frenet curve to be f-harmonic, f-biharmonic, bi-f-harmonic and f-biminimal in three-dimensional $$\beta $$ β -Kenmotsu manifolds. In addition, such conditions are investigated for slant curves. |
| first_indexed | 2024-04-09T23:09:38Z |
| format | Article |
| id | doaj.art-4e397b476e7c47fba5fcb9ca31ad37fc |
| institution | Directory Open Access Journal |
| issn | 2193-5343 2193-5351 |
| language | English |
| last_indexed | 2024-04-09T23:09:38Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Arabian Journal of Mathematics |
| spelling | doaj.art-4e397b476e7c47fba5fcb9ca31ad37fc2023-03-22T10:27:01ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512022-10-011218910310.1007/s40065-022-00405-wOn some curves in three-dimensional $$\beta $$ β -Kenmotsu manifoldsŞerife Nur Bozdağ0Selcen Yüksel Perktaş1Feyza Esra Erdoğan2Department of Mathematics, Ege UniversityDepartment of Mathematics, Adıyaman UniversityDepartment of Mathematics, Ege UniversityAbstract This paper is devoted to examine necessary and sufficient conditions for a Frenet curve to be f-harmonic, f-biharmonic, bi-f-harmonic and f-biminimal in three-dimensional $$\beta $$ β -Kenmotsu manifolds. In addition, such conditions are investigated for slant curves.https://doi.org/10.1007/s40065-022-00405-w53C2553C4358E20 |
| spellingShingle | Şerife Nur Bozdağ Selcen Yüksel Perktaş Feyza Esra Erdoğan On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds Arabian Journal of Mathematics 53C25 53C43 58E20 |
| title | On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds |
| title_full | On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds |
| title_fullStr | On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds |
| title_full_unstemmed | On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds |
| title_short | On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds |
| title_sort | on some curves in three dimensional beta β kenmotsu manifolds |
| topic | 53C25 53C43 58E20 |
| url | https://doi.org/10.1007/s40065-022-00405-w |
| work_keys_str_mv | AT serifenurbozdag onsomecurvesinthreedimensionalbetabkenmotsumanifolds AT selcenyukselperktas onsomecurvesinthreedimensionalbetabkenmotsumanifolds AT feyzaesraerdogan onsomecurvesinthreedimensionalbetabkenmotsumanifolds |