Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
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.
Harmonic maps and biharmonic maps on principal bundles and warped products
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
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
Almost Einstein manifolds with circulant structures
2017; 54(5): 1441-1456
-
Differential geometric properties on the Heisenberg group
2016; 53(5): 1149-1165
-
Ricci curvature and monopole classes on $3$-manifolds
2012; 49(5): 965-976
-
Construction of a complete negatively curved singular Riemannian foliation
1995; 32(3): 609-614
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd