Biharmonic Curves in Warped Product Manifolds I×_fMⁿ( c)

2025/05/04 by Şaban Güvenç, Güvenç, Şaban, Cihan Özgür +1
#math.DG

paper · pdf · doi:10.48550/arxiv.2505.02194

Abstract

We explore the geometric properties of biharmonic curves in warped product manifolds of the form I× _fMⁿ(c), where I is an open interval and Mⁿ(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× _fS²(1).

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