# On the f-biharmonic Maps and Submanifolds

• Accepted : 2014.09.19
• Published : 2015.03.23
• 20 11

#### 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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#### Cited by

1. STABLE f-HARMONIC MAPS ON SPHERE vol.30, pp.4, 2015, https://doi.org/10.4134/CKMS.2015.30.4.471