Unveiling f-Biharmonic ??-Slant Curves in S- Space Forms

Abstract

In this paper, we firstly provide a concise overview of 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.