Biharmonic maps between doubly warped product manifolds

2008/07/11 by Perktaş, Selcen Yüksel, Kılıç, Erol
#53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0807.1836

Abstract

In this paper biharmonic maps between doubly warped product manifolds are studied. We show that the inclusion maps of Riemannian manifolds B and F into the doubly warped product _fB×_bF can not be proper biharmonic maps. Also we analyze the conditions for the biharmonicity of projections _fB×_bF→ B and _fB×_bF→ F, respectively. Some characterizations for non-harmonic biharmonic maps are given by using product of harmonic maps and warping metric. Specially, in the case of f=1, the results for warped product in \citeBalmus-mont are obtained.

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