On generalization of biharmonic curves in a Walker 3-manifold
Abstract
This paper examines f-biharmonic curves within a three-dimensional Walker manifold, focusing on their geometric properties. It derives explicit parametric equations for these curves and establishes the necessary and sufficient conditions for a curve to be f-biharmonic. In particular, we proved that when the function f remains constant, the f-biharmonic curve reduces to a non-geodesic biharmonic curve.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Journal of Interdisciplinary Mathematics
- Volume
- 29
- Issue
- 1
- Pages
- 1–9
- Publication date
- 1 January 2026