Vector fields which are biharmonic maps.

Autor: Alem, Amina, Kacimi, Bouazza, Özkan, Mustafa
Zdroj: Journal of Geometry; Apr2022, Vol. 113 Issue 1, p1-14, 14p
Abstrakt: In this paper, an explicit expression of the bitension field of a vector field considered as a map from a Riemannian manifold (M, g) to its tangent bundle TM equipped with the Sasaki metric g S is provided. As a consequence, we show characterization theorem for a vector field to be biharmonic map. We prove non-existence results for left-invariant vector fields which are biharmonic without being harmonic maps and non-harmonic biharmonic maps respectively on unimodular Lie groups of dimension three. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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