On the biharmonic vector fields
Authors : Mustapha Djaa, Hichem Elhendi, Seddik Ouakkas
Pages : 463-474
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The problem studied in this paper is related to the biharmonicity of a vector field from a Riemannian manifold (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 (M,g) to (TM,gs).Keywords : Horizontal lift, vertical lift, harmonic maps, biharmonic maps