f-Biharmonic Maps Between Riemannian Manifold
Document Type
Article
Digital Object Identifier (DOI)
10.7546/jgsp-27-2012-45-58
Journal Title
Journal of Geometry and Symmetry in Physics
Publication Date
2012
Abstract
We show that if ψ is an f-biharmonic map from a compact Riemannian manifold into a Riemannian manifold with non-positive curvature satisfying a condition, then ψ is an f-harmonic map. We prove that if the f-tension field τf (ψ) of a map ψ of Riemannian manifolds is a Jacobi field and φ is a totally geodesic map of Riemannian manifolds, then τf (φ ◦ ψ) is a Jacobi field. We finally investigate the stress f-bienergy tensor, and relate the divergence of the stress f-bienergy of a map ψ of Riemannian manifolds with the Jacobi field of the τf (ψ) of the map
Publisher Statement
The JGSP is a delayed Open Access journal which means that after 5 years embargo period the published articles in it become freely available to the public.
Recommended Citation
Chiang, Yuan-Jen. “f-Biharmonic Maps Between Riemannian Manifolds.” Journal of Geometry and Symmetry in Physics 27 (2012): 45–58. https://doi.org/10.7546/jgsp-27-2012-45-58.
Comments
This article is openly available courtesy of Project Euclid at: https://projecteuclid.org/euclid.jgsp/1495764127.
For more information about the Journal of Geometry and Symmetry in Physics, please visit their website at: https://www.emis.de/journals/JGSP/.