INVARIANT AND ANTI-INVARIANT RIEMANNIAN MAPS TO KAHLER MANIFOLDS
dc.authorid | Sahin, Bayram/0000-0002-9372-1151 | |
dc.authorwosid | Sahin, Bayram/AAG-7872-2021 | |
dc.contributor.author | Sahin, Bayram | |
dc.date.accessioned | 2024-08-04T20:32:23Z | |
dc.date.available | 2024-08-04T20:32:23Z | |
dc.date.issued | 2010 | |
dc.department | İnönü Üniversitesi | en_US |
dc.description.abstract | As 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.doi | 10.1142/S0219887810004324 | |
dc.identifier.endpage | 355 | en_US |
dc.identifier.issn | 0219-8878 | |
dc.identifier.issue | 3 | en_US |
dc.identifier.scopus | 2-s2.0-77952646986 | en_US |
dc.identifier.scopusquality | Q3 | en_US |
dc.identifier.startpage | 337 | en_US |
dc.identifier.uri | https://doi.org/10.1142/S0219887810004324 | |
dc.identifier.uri | https://hdl.handle.net/11616/95040 | |
dc.identifier.volume | 7 | en_US |
dc.identifier.wos | WOS:000277810000001 | en_US |
dc.identifier.wosquality | Q3 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
dc.relation.ispartof | International Journal of Geometric Methods in Modern Physics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Kahler manifold | en_US |
dc.subject | Riemannian maps | en_US |
dc.subject | invariant Riemannian map | en_US |
dc.subject | anti-invariant Riemannian map | en_US |
dc.subject | harmonic map | en_US |
dc.subject | decomposition theorem | en_US |
dc.title | INVARIANT AND ANTI-INVARIANT RIEMANNIAN MAPS TO KAHLER MANIFOLDS | en_US |
dc.type | Article | en_US |