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arXiv · 2410.04876

Unveiling $f-$Biharmonic $\theta_{\alpha }-$Slant Curves in $\mathcal{S}-$ Space Forms

Şaban Güvenç
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Abstract

In this paper, we firstly provide a concise overview of $\mathcal{S}-$manifolds, $f$-biharmonicity and $\theta _{\alpha }$-slant curves. We then derive a key equation and analyze it in detail to establish the necessary and sufficient conditions for $\theta _{\alpha }$-slant curves to be $f$-biharmonic. Finally, we present an example to support our findings.

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Şaban Güvenç. 2024-10-07. Unveiling $f-$Biharmonic $\theta_{\alpha }-$Slant Curves in $\mathcal{S}-$ Space Forms. https://doi.org/10.36890/iejg.15742858

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