Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2014.03.02
  • Accepted : 2014.09.19
  • Published : 2015.03.23
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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.

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References

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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