Biharmonic maps between doubly warped product manifolds

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dc.creatorPerktaş, Selcen Yüksel
dc.creatorKılıç, Erol
dc.date2008-07-11
dc.date2008-08-01
dc.date.accessioned2026-07-07T09:53:54Z
dc.date.available2026-07-07T09:53:54Z
dc.descriptionIn 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 $_{f}B\times_{b}F$ can not be proper biharmonic maps. Also we analyze the conditions for the biharmonicity of projections $_{f}B\times_{b}F\to B$ and $_{f}B\times_{b}F\to F$, 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 \cite{Balmus-mont} are obtained.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0807.1836
dc.identifierhttp://arxiv.org/abs/0807.1836
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166123
dc.subjectDifferential Geometry
dc.subject58E20, 53C43
dc.titleBiharmonic maps between doubly warped product manifolds
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