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**publisher and metadata sources**).Criterions for constancy of the holomorphic sectional curvature and the antiholomorphic sectional curvature are proved for almost Hermitian manifolds. It is shown, that an almost Hermitian manifold… Continue Reading

It is proved, that if a quasi-K\"ahler manifold $M$ of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature $\nu$, then $\nu$, the scalar curvature and the… Continue Reading

An interesting problem in classical differential geometry is to find methods to prove that two surfaces defined by different charts actually coincide up to position in space. In a previous paper we… Continue Reading

We deal with the generalized Bochner curvature tensor and the Bochner curvature tensor introduced respectively in [1] and [11]. In section 2 we prove, that if an almost Hermitian manifold is a… Continue Reading

We prove that an almost Kahler manifold (M,g,J) with dimM � 8 and pointwise constant antiholomorphic sectional curvature is a complex space- form.

The following result is proved: Consider a 4-dimensional Kaehler manifold M with nonvanishing Bochner tensor B. Then any holomorphic transformation of M, which preserves B is a homothety.

The main purpose of this article is to prove that there exist no proper $AK_3$-manifold of dimension $2n\ge 6$ with vanishing Tricerri-Vanhecke Bochner curvature tensor and constant scalar curvature.

Adorno’s attitude towards Hegel is notoriously complex. On Adorno’s reading, Hegel is to be seen as the philosopher of totalizing closure. But it was Adorno who also extended the radical and… Continue Reading

Conditions, related to the so-called bending problem are considered for hypersurfaces of a pseudo-Euclidean space. Corresponding theorems are proved.

The axiom of {\theta}-holomorphic 2-planes is introduced. It is proved, that if an almost Hermitian manifold satisfies this axiom for a fixed {\theta}, 0< {\theta}< {\pi}/2, then it is a real space… Continue Reading