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Some properties of para-Kähler-Walker metrics

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Özkan M., İşcan M.

Annales Polonici Mathematici

2014

tom 112

nr 2

115-125

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Özkan M.

1 İşcan M.

1 2014

Wyniki wyszukiwania

Some properties of para-Kähler-Walker metrics