Turkish Journal of Mathematics
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 g^s. 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,g^s).
DOI
10.3906/mat-1003-204
Keywords
Horizontal lift, vertical lift, harmonic maps, biharmonic maps
First Page
463
Last Page
474
Recommended Citation
DJAA, M, ELHENDI, H, & OUAKKAS, S (2012). On the biharmonic vector fields. Turkish Journal of Mathematics 36 (3): 463-474. https://doi.org/10.3906/mat-1003-204
