Some properties of para-Kähler-Walker metrics

• Autorzy: Mustafa Özkan , Murat İşcan
• Języki publikacji: EN

Abstrakty

EN

A Walker 4-manifold is a pseudo-Riemannian manifold (M₄,g) of neutral signature, which admits a field of parallel null 2-planes. We study almost paracomplex structures on 4-dimensional para-Kähler-Walker manifolds. In particular, we obtain conditions under which these almost paracomplex structures are integrable, and the corresponding para-Kähler forms are symplectic. We also show that Petean's example of a nonflat indefinite Kähler-Einstein 4-manifold is a special case of our constructions.

Kategorie tematyczne

• 53B30: Lorentz metrics, indefinite metrics
• 53C50: Lorentz manifolds, manifolds with indefinite metrics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 112
• Numer: 2
• Strony: 115-125

Daty

wydano

2014

Twórcy

autor

Mustafa Özkan

• Department of Mathematics, Faculty of Sciences, Gazi University, 06500 Ankara, Turkey

autor

Murat İşcan

• Department of Mathematics, Faculty of Sciences, Ataturk University, 25240 Erzurum, Turkey

Identyfikatory

DOI

10.4064/ap112-2-2