Article
The Bienergy of Pull-Back Vector Fields
Authors
Abstract
The problem studied in this paper is related to the bienergy of a pull-back vector field from a Riemannian manifold $(M, g)$ to its tangent bundle $TN$ equipped with the Sasaki metric $h_s$. We show that a pull-back vector field on a compact manifold $(M, g)$ which covers harmonic map $\phi$. then the pull-back bundle $V \in \Gamma(\phi^{-1}(TN))$ is biharmonic if and only if $V$ is parallel.
Keywords
Horizontal lift, Vertical lift, Pull-Back, Biharmonic map.
Citation
Latti, F. (2022). The bienergy of pull-back vector fields. Turkish Journal of Computer and Mathematics Education, 13(3), 158–166.
F. Latti, “The bienergy of pull-back vector fields,” Turkish Journal of Computer and Mathematics Education, vol. 13, no. 3, pp. 158–166, 2022.
Latti F. The bienergy of pull-back vector fields. Turkish Journal of Computer and Mathematics Education. 2022;13(3):158–166.
Latti, F. (2022), ‘The bienergy of pull-back vector fields’, Turkish Journal of Computer and Mathematics Education, 13(3), pp. 158–166.
Latti, Fethi. “The Bienergy of Pull-back Vector Fields.” Turkish Journal of Computer and Mathematics Education, vol. 13, no. 3, 2022, pp. 158–166.
Latti, Fethi. “The Bienergy of Pull-back Vector Fields.” Turkish Journal of Computer and Mathematics Education 13, no. 3 (2022): 158–166.
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Published by: Engineering Journals
