Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2018; 33(1): 273-291

Online first article June 14, 2017      Printed January 31, 2018

https://doi.org/10.4134/CKMS.c170093

Copyright © The Korean Mathematical Society.

Harmonic and biharmonic maps on doubly twisted product manifolds

Abdelhamid Boulal, Mustapha Djaa, Seddik Ouakkas

University of Tiaret, University of Relizane, University of Saida

Abstract

In this paper we investigate the geometry of doubly twisted product manifolds and we study the harmonicity and biharmonicity of maps between doubly twisted product Riemannian manifold. Also we characterize the conformal biharmonic maps and construct some new proper biharmonic maps.

Keywords: harmonic maps, biharmonic maps, conformal maps, proper biharmonic maps, doubly twisted product manifolds

MSC numbers: 58E20, 53C20, 53C50