Semi-invariant Riemannian maps from almost Hermitian manifolds

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dc.authoridSahin, Bayram/0000-0002-9372-1151
dc.authorwosidSahin, Bayram/AAG-7872-2021
dc.contributor.authorSahin, Bayram
dc.date.accessioned2024-08-04T20:35:43Z
dc.date.available2024-08-04T20:35:43Z
dc.date.issued2012
dc.departmentİnönü Üniversitesien_US
dc.description.abstractWe construct Gauss-Weingarten-like formulas and define O'Neill's tensors for Riemannian maps between Riemannian manifolds. By using these new formulas, we obtain necessary and sufficient conditions for Riemannian maps to be totally geodesic. Then we introduce semi-invariant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, give examples and investigate the geometry of leaves of the distributions defined by such maps. We also obtain necessary and sufficient conditions for semi-invariant maps to be totally geodesic and find decomposition theorems for the total manifold. Finally, we give a classification result for semi-invariant Riemannian maps with totally umbilical fibers. (C) 2011 Royal Netherlands Academy of Arts and Sciences. Published by Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipScientific and Technological Council of Turkey (TUBITAK) [TBAG-109T125]en_US
dc.description.sponsorshipThis paper is supported by The Scientific and Technological Council of Turkey (TUBITAK) with number (TBAG-109T125).en_US
dc.identifier.doi10.1016/j.indag.2011.10.003
dc.identifier.endpage94en_US
dc.identifier.issn0019-3577
dc.identifier.issn1872-6100
dc.identifier.issue1-2en_US
dc.identifier.scopus2-s2.0-84856116594en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage80en_US
dc.identifier.urihttps://doi.org/10.1016/j.indag.2011.10.003
dc.identifier.urihttps://hdl.handle.net/11616/95550
dc.identifier.volume23en_US
dc.identifier.wosWOS:000300811300008en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofIndagationes Mathematicae-New Seriesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectKahler manifolden_US
dc.subjectRiemannian mapsen_US
dc.subjectAnti-invariant Riemannian submersionen_US
dc.subjectSemi-invariant submersionen_US
dc.subjectSemi-invariant Riemannian mapen_US
dc.subjectHarmonic mapen_US
dc.titleSemi-invariant Riemannian maps from almost Hermitian manifoldsen_US
dc.typeArticleen_US

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