On the biharmonic vector fields

Authors : Mustapha DJAA, Hichem ELHENDI, Seddik OUAKKAS

Pages : 463-474

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The problem studied in this paper is related to the biharmonicity of a vector field from a Riemannian manifold insert ignore into journalissuearticles values(M,g); to its tangent bundle TM equipped with the Sasaki metric gs. We show that a vector field on a compact manifold is biharmonic if and only if is harmonic. We also investigate the biharmonicity of vector field of M, as a map from insert ignore into journalissuearticles values(M,g); to insert ignore into journalissuearticles values(TM,gs);.
Keywords : Horizontal lift, vertical lift, harmonic maps, biharmonic maps