On the f-biharmonic Maps and Submanifolds

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 1,  2015, pp.157-168
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.1.157
Title & Authors
On the f-biharmonic Maps and Submanifolds
Zegga, Kaddour; Cherif, A. Mohamed; Djaa, Mustapha;

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 $\small{\mathbb{S}^n}$, and we give the classification of f-biharmonic curves in 3-dimensional sphere.
Keywords
Submanifolds;f-harmonic maps;f-biharmonic maps;
Language
English
Cited by
1.
STABLE f-HARMONIC MAPS ON SPHERE,;;;

대한수학회논문집, 2015. vol.30. 4, pp.471-479
1.
STABLE f-HARMONIC MAPS ON SPHERE, Communications of the Korean Mathematical Society, 2015, 30, 4, 471
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