Para-Kahler-Einstein structures on Walker 4-manifolds
| dc.contributor.author | İşcan, Murat | |
| dc.contributor.author | Çağlar, Gülnur | |
| dc.date.accessioned | 2021-09-13T07:04:54Z | |
| dc.date.available | 2021-09-13T07:04:54Z | |
| dc.date.issued | 2016 | |
| dc.department | AÇÜ, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü | en_US |
| dc.description.abstract | A 4-dimensional Walker manifold (M-4, g, D) is a semi-Riemannian manifold (M-4, g) of signature (+ + --) (or neutral), which admits a field of null 2-plane. The goal of this paper is to study certain almost paracomplex structures phi on 4-dimensional Walker manifolds. We discuss when these structures are integrable and when the para Kahler forms are symplectic. We show that such a Walker 4-manifold can carry a class of indefinite para-Kahler-Einstein 4-manifolds, examples of indefinite para-Kahler 4-manifolds, and also almost indefinite para-Hermitian-Einstein 4-manifold. Finally, we give a counterexample for the almost para-Hemitian version of Goldberg conjecture. | |
| dc.identifier.citation | Iscan, M., & Caglar, G. (2016). Para-Kähler–Einstein structures on Walker 4-manifolds. International Journal of Geometric Methods in Modern Physics, 13(02), 1650006. | en_US |
| dc.identifier.doi | 10.1142/S0219887816500067 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219887816500067 | |
| dc.identifier.uri | https://hdl.handle.net/11494/3418 | |
| dc.identifier.volume | 13 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | İşca, Murat | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publishing Co Pte Ltd | en_US |
| dc.relation.ispartof | International Journal of Geometric Methods in Modern Physics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Almost paracomplex structure | en_US |
| dc.subject | Symplectic structure | en_US |
| dc.subject | Para-Kahler structure | en_US |
| dc.subject | Einstein metric | en_US |
| dc.subject | Walker manifold | en_US |
| dc.title | Para-Kahler-Einstein structures on Walker 4-manifolds | en_US |
| dc.type | Article |
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