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 Paper

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