On Biharmonic and Biminimal Curves in 3-dimensional f-Kenmotsu Manifolds

Year 2020, Volume: 1 Issue: 1, 14 - 22, 31.01.2020

Selcen Yüksel Perktaş , Bilal Eftal Acet , Seddik Ouakkas

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

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