Open Access
VOL. 14 | 2013 f-biharmonic Maps Between Riemannian Manifolds
Chapter Author(s) Yuan-Jen Chiang
Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka
Geom. Integrability & Quantization, 2013: 74-86 (2013) DOI: 10.7546/giq-14-2013-74-86

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(ϕψ) 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.

Information

Published: 1 January 2013
First available in Project Euclid: 13 July 2015

zbMATH: 1382.58013
MathSciNet: MR3183931

Digital Object Identifier: 10.7546/giq-14-2013-74-86

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

PROCEEDINGS ARTICLE
13 PAGES


Back to Top