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Einstein-Hermitian and anti-Hermitian 4-manifolds

Włodzimierz Jelonek (2003)

Annales Polonici Mathematici

We study 4-dimensional Einstein-Hermitian non-Kähler manifolds admitting a certain anti-Hermitian structure. We also describe Einstein 4-manifolds which are of cohomogeneity 1 with respect to an at least 4-dimensional group of isometries.

Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind

Mića S. Stanković, Milan Lj. Zlatanović, Ljubica S. Velimirović (2010)

Czechoslovak Mathematical Journal

In this paper we define generalized Kählerian spaces of the first kind ( G K 1 N ) given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ( G K 1 N and G K ¯ 1 N ) and for them we find invariant geometric objects.

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