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Journals / Fundamentals of Contemporary Mathematical Sciences / 2020 / Cilt: 1 - Sayı: 1

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

Selcen YÜKSEL PERKTAŞ, Bilal Eftal ACET, Seddik OUAKKAS

Pages
14–22
DOI
—

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.