- Fundamentals of Contemporary Mathematical Sciences
- Vol: 1 Issue: 1
- On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds
On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds
Authors : Selcen YÜKSEL PERKTAŞ, Bilal Eftal ACET, Seddik OUAKKAS
Pages : 14-22
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Publication Date : 2020-01-31
Article Type : Research
Abstract :In the present paper, we study biharmonicity and biminimality of the curves in 3-dimensional f-Kenmotsu manifolds. We investigate necessary and sufficient conditions for a slant curve in a 3-dimensional f-Kenmotsu manifold to be biharmonic and biminimal, respectively. We give some related characterizations in case such curves are Legendre curves.Keywords : Biharmonic curves, Biminimal Curves, f-Kenmotsu Manifolds