Biharmonic curves in warped product manifolds I ×fMn(c)
Abstract
We explore the geometric properties of biharmonic curves in warped product manifolds of the form I ×f Mn(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 three examples in I ×f S2(1).
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Mathematical Dynamics and Fractals
advanced mathematical theories
Publication details
- Journal / source
- TURKISH JOURNAL OF MATHEMATICS
- Volume
- 50
- Issue
- 4
- Pages
- 575–592
- Publication date
- 17 July 2026
- Language
- EN