Unveiling $f-$Biharmonic $θ_{α}-$Slant Curves in $\mathcal{S}-$ Space Forms
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910919845478400 |
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| author | Güvenç, Şaban |
| author_facet | Güvenç, Şaban |
| contents | In this paper, we firstly provide a concise overview of $\mathcal{S}-$manifolds, $f$-biharmonicity and $θ_{α}$-slant curves. We then derive a key equation and analyze it in detail to establish the necessary and sufficient conditions for $θ_{α}$-slant curves to be $f$-biharmonic. Finally, we present an example to support our findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04876 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unveiling $f-$Biharmonic $θ_{α}-$Slant Curves in $\mathcal{S}-$ Space Forms Güvenç, Şaban Differential Geometry Primary 53C25, Secondary 53C40, 53A04 In this paper, we firstly provide a concise overview of $\mathcal{S}-$manifolds, $f$-biharmonicity and $θ_{α}$-slant curves. We then derive a key equation and analyze it in detail to establish the necessary and sufficient conditions for $θ_{α}$-slant curves to be $f$-biharmonic. Finally, we present an example to support our findings. |
| title | Unveiling $f-$Biharmonic $θ_{α}-$Slant Curves in $\mathcal{S}-$ Space Forms |
| topic | Differential Geometry Primary 53C25, Secondary 53C40, 53A04 |
| url | https://arxiv.org/abs/2410.04876 |