Turkish Journal of Mathematics
DOI
10.3906/mat-1003-204
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).
Keywords
Horizontal lift, vertical lift, harmonic maps, biharmonic maps
First Page
463
Last Page
474
Recommended Citation
DJAA, MUSTAPHA; ELHENDI, HICHEM; and OUAKKAS, SEDDIK
(2012)
"On the biharmonic vector fields,"
Turkish Journal of Mathematics: Vol. 36:
No.
3, Article 12.
https://doi.org/10.3906/mat-1003-204
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss3/12
