Biharmonic Curves in a Strict Walker 3-Manifold
In this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold. We give an ex...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2022/3855033 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565896390901760 |
|---|---|
| author | Mamadou Gningue Ameth Ndiaye Rénovat Nkunzimana |
| author_facet | Mamadou Gningue Ameth Ndiaye Rénovat Nkunzimana |
| author_sort | Mamadou Gningue |
| collection | DOAJ |
| description | In this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold. We give an example of biharmonic curve for illustrating the main result. |
| format | Article |
| id | doaj-art-efd1d1b5ebfc4078a9f05b9a66d4945a |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-efd1d1b5ebfc4078a9f05b9a66d4945a2025-02-03T01:06:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/3855033Biharmonic Curves in a Strict Walker 3-ManifoldMamadou Gningue0Ameth Ndiaye1Rénovat Nkunzimana2Département de Mathématiques et Informatique, FSTDépartement de MathématiquesDépartement de MathématiquesIn this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold. We give an example of biharmonic curve for illustrating the main result.http://dx.doi.org/10.1155/2022/3855033 |
| spellingShingle | Mamadou Gningue Ameth Ndiaye Rénovat Nkunzimana Biharmonic Curves in a Strict Walker 3-Manifold International Journal of Mathematics and Mathematical Sciences |
| title | Biharmonic Curves in a Strict Walker 3-Manifold |
| title_full | Biharmonic Curves in a Strict Walker 3-Manifold |
| title_fullStr | Biharmonic Curves in a Strict Walker 3-Manifold |
| title_full_unstemmed | Biharmonic Curves in a Strict Walker 3-Manifold |
| title_short | Biharmonic Curves in a Strict Walker 3-Manifold |
| title_sort | biharmonic curves in a strict walker 3 manifold |
| url | http://dx.doi.org/10.1155/2022/3855033 |
| work_keys_str_mv | AT mamadougningue biharmoniccurvesinastrictwalker3manifold AT amethndiaye biharmoniccurvesinastrictwalker3manifold AT renovatnkunzimana biharmoniccurvesinastrictwalker3manifold |