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http://dx.doi.org/10.5666/KMJ.2015.55.1.157

On the f-biharmonic Maps and Submanifolds  

Zegga, Kaddour (Department of Mathematics, Mascara University)
Cherif, A. Mohamed (Department of Mathematics, Mascara University)
Djaa, Mustapha (Department of Mathematics, Relizane Center University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.1, 2015 , pp. 157-168 More about this Journal
Abstract
In this paper, we prove that every f-biharmonic map from a complete Riemannian manifold into a Riemannian manifold with non-positive sectional curvature,satisfying some condition, is f-harmonic. Also we present some properties for the f-biharmonicity of submanifolds of $\mathbb{S}^n$, and we give the classification of f-biharmonic curves in 3-dimensional sphere.
Keywords
Submanifolds; f-harmonic maps; f-biharmonic maps;
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