Biharmonic Curves in Warped Product Manifolds $I\times_{f}M^{n}\left( c\right) $
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916719566520320 |
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| author | Güvenç, Şaban Özgür, Cihan |
| author_facet | Güvenç, Şaban Özgür, Cihan |
| contents | We explore the geometric properties of biharmonic curves in warped product manifolds of the form $I\times _{f}M^{n}(c)$, where $I$ is an open interval and $M^{n}(c)$ is a space of constant curvature. By establishing a main theorem, we analyze four distinct cases to reveal deeper curvature-related characteristics of these curves, including situations where they are slant. Finally, we construct two examples in $I\times _{f}S^{2}(1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02194 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Biharmonic Curves in Warped Product Manifolds $I\times_{f}M^{n}\left( c\right) $ Güvenç, Şaban Özgür, Cihan Differential Geometry 53C25, 53C40, 53A04 We explore the geometric properties of biharmonic curves in warped product manifolds of the form $I\times _{f}M^{n}(c)$, where $I$ is an open interval and $M^{n}(c)$ is a space of constant curvature. By establishing a main theorem, we analyze four distinct cases to reveal deeper curvature-related characteristics of these curves, including situations where they are slant. Finally, we construct two examples in $I\times _{f}S^{2}(1)$. |
| title | Biharmonic Curves in Warped Product Manifolds $I\times_{f}M^{n}\left( c\right) $ |
| topic | Differential Geometry 53C25, 53C40, 53A04 |
| url | https://arxiv.org/abs/2505.02194 |