Biharmonic Riemannian submersions

dc.contributor.author	Akyol, M.A. and Ou, Y.-L.
dc.date.accessioned	2021-04-08T12:06:54Z
dc.date.available	2021-04-08T12:06:54Z
dc.date.issued	2019
dc.identifier	10.1007/s10231-018-0789-x
dc.identifier.issn	03733114
dc.identifier.uri	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85053278119&doi=10.1007%2fs10231-018-0789-x&partnerID=40&md5=7969d98501d987577d9e0270c6810741
dc.identifier.uri	http://acikerisim.bingol.edu.tr/handle/20.500.12898/4145
dc.description.abstract	In this paper, we study biharmonic Riemannian submersions. We first derive bitension field of a general Riemannian submersion, and we then use it to obtain biharmonic equations for Riemannian submersions with one-dimensional fibers and Riemannian submersions with basic mean curvature vector fields of fibers. These are used to construct examples of proper biharmonic Riemannian submersions with one-dimensional fibers and to characterize warped products whose projections onto the first factor are biharmonic Riemannian submersions. © 2018, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.
dc.language.iso	English
dc.source	Annali di Matematica Pura ed Applicata
dc.title	Biharmonic Riemannian submersions

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