INVARIANT AND ANTI-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.accessioned2024-08-04T20:32:23Z
dc.date.available2024-08-04T20:32:23Z
dc.date.issued2010
dc.departmentİnönü Üniversitesien_US
dc.description.abstractAs a generalization of isometric immersions and Riemannian submersions, Riemannian maps were introduced by Fischer [Riemannian maps between Riemannian manifolds, Contemp. Math. 132 (1992) 331-366]. It is known that a real valued Riemannian map satisfies the eikonal equation which provides a bridge between physical optics and geometrical optics. In this paper, we introduce invariant and anti-invariant Riemannian maps between Riemannian manifolds and almost Hermitian manifolds as a generalization of invariant immersions and totally real immersions, respectively. Then we give examples, present a characterization and obtain a geometric characterization of harmonic invariant Riemannian maps in terms of the distributions which are involved in the definition of such maps. We also give a decomposition theorem by using the existence of invariant Riemannian maps to Kahler manifolds. Moreover, we study anti-invariant Riemannian maps, give examples and obtain a classification theorem for umbilical anti-invariant Riemannian maps.en_US
dc.identifier.doi10.1142/S0219887810004324
dc.identifier.endpage355en_US
dc.identifier.issn0219-8878
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-77952646986en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage337en_US
dc.identifier.urihttps://doi.org/10.1142/S0219887810004324
dc.identifier.urihttps://hdl.handle.net/11616/95040
dc.identifier.volume7en_US
dc.identifier.wosWOS:000277810000001en_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.subjectKahler manifolden_US
dc.subjectRiemannian mapsen_US
dc.subjectinvariant Riemannian mapen_US
dc.subjectanti-invariant Riemannian mapen_US
dc.subjectharmonic mapen_US
dc.subjectdecomposition theoremen_US
dc.titleINVARIANT AND ANTI-INVARIANT RIEMANNIAN MAPS TO KAHLER MANIFOLDSen_US
dc.typeArticleen_US

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