SEMI-INVARIANT RIEMANNIAN MAPS TO KAHLER MANIFOLDS

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dc.authoridSahin, Bayram/0000-0002-9372-1151
dc.authorwosidSahin, Bayram/AAG-7872-2021
dc.contributor.authorSahin, Bayram
dc.date.accessioned2024-08-04T20:35:42Z
dc.date.available2024-08-04T20:35:42Z
dc.date.issued2011
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper has two aims. First, we show that the usual notion of umbilical maps between Riemannian manifolds does not work for Riemannian maps. Then we introduce a new notion of umbilical Riemannian maps between Riemannian manifolds and give a method on how to construct examples of umbilical Riemannian maps. In the second part, as a generalization of CR-submanifolds, holomorphic submersions, anti-invariant submersions, invariant Riemannian maps and anti-invariant Riemannian maps, we introduce semi-invariant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds, give examples and investigate the geometry of distributions which are arisen from definition. We also obtain a decomposition theorem and give necessary and sufficient conditions for a semi-invariant Riemannian map to be totally geodesic. Then we study the geometry of umbilical semi-invariant Riemannian maps and obtain a classification theorem for such Riemannian maps.en_US
dc.description.sponsorshipScientific and Technological Council of Turkey [TBAG-109T125]en_US
dc.description.sponsorshipThis paper is supported by The Scientific and Technological Council of Turkey with No. (TBAG-109T125).en_US
dc.identifier.doi10.1142/S0219887811005725
dc.identifier.endpage1454en_US
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-84555178382en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1439en_US
dc.identifier.urihttps://doi.org/10.1142/S0219887811005725
dc.identifier.urihttps://hdl.handle.net/11616/95523
dc.identifier.volume8en_US
dc.identifier.wosWOS:000298384100003en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRiemannian mapen_US
dc.subjectsemi-invariant Riemannian mapen_US
dc.subjectisometric immersionen_US
dc.subjectRiemannian submersionen_US
dc.subjectinvariant Riemannian mapen_US
dc.subjectanti-invariant Riemannian mapen_US
dc.titleSEMI-INVARIANT RIEMANNIAN MAPS TO KAHLER MANIFOLDSen_US
dc.typeArticleen_US

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