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On generalization of biharmonic curves in a Walker 3-manifold
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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.
Title: On generalization of biharmonic curves in a Walker 3-manifold
Description:
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.
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