Biharmonic Maps on Doubly Warped Product Manifolds

Khaldia Madani; Seddik Ouakkas

doi:10.5666/KMJ.2020.60.3.599

Article

Kyungpook Mathematical Journal 2020; 60(3): 599-627

Published online September 30, 2020

Biharmonic Maps on Doubly Warped Product Manifolds

Khaldia Madani, Seddik Ouakkas^*

National Polytechnic School of Oran Maurice Audin (ENPO-MA), Algeria
e-mail : khaldia.madani@enp-oran.dz
Laboratory of Geometry, Analysis, Control and Applications, University of Saida, Algeria
e-mail : seddik.ouakkas@gmail.com

Received: November 26, 2019; Revised: March 20, 2020; Accepted: March 21, 2020

Abstract

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Abstract

In this paper, we characterize a class of biharmonic maps from and between doubly product manifolds in terms of theie warping function. Examples are constructed when all of the factors are Euclidean spaces.

Keywords: harmonic map, biharmonic map, doubly warped product