Some constructions of biharmonic maps on the warped product manifolds

Abdelmadjid Bennouar; Seddik Ouakkas

Commentationes Mathematicae Universitatis Carolinae (2017)

  • Volume: 58, Issue: 4, page 481-500
  • ISSN: 0010-2628

Abstract

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In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.

How to cite

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Bennouar, Abdelmadjid, and Ouakkas, Seddik. "Some constructions of biharmonic maps on the warped product manifolds." Commentationes Mathematicae Universitatis Carolinae 58.4 (2017): 481-500. <http://eudml.org/doc/294190>.

@article{Bennouar2017,
abstract = {In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.},
author = {Bennouar, Abdelmadjid, Ouakkas, Seddik},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {harmonic map; biharmonic map; warped product},
language = {eng},
number = {4},
pages = {481-500},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some constructions of biharmonic maps on the warped product manifolds},
url = {http://eudml.org/doc/294190},
volume = {58},
year = {2017},
}

TY - JOUR
AU - Bennouar, Abdelmadjid
AU - Ouakkas, Seddik
TI - Some constructions of biharmonic maps on the warped product manifolds
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2017
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 58
IS - 4
SP - 481
EP - 500
AB - In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.
LA - eng
KW - harmonic map; biharmonic map; warped product
UR - http://eudml.org/doc/294190
ER -

References

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