J. Korean Math. Soc. 2018; 55(3): 553-574
Online first article March 22, 2018 Printed May 1, 2018
https://doi.org/10.4134/JKMS.j170251
Copyright © The Korean Mathematical Society.
Hajime Urakawa
Tohoku University
In this paper, we study harmonic maps and biharmonic maps on the principal $G$-bundle in Kobayashi and Nomizu \cite{KN} and also the warped product $P=M\times_f F$ for a $C^{\infty}(M)$ function $f$ on $M$ studied by Bishop and O'Neill \cite{BO}, and Ejiri \cite{Ej}.
Keywords: principal $G$ bundle, Ricci curvature, harmonic map, biharmonic map, warped product
MSC numbers: Primary 58E20; Secondary 53C43
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