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On the Cartan-Norden theorem for affine Kähler immersions

Maria Robaszewska (2000)

Annales Polonici Mathematici

In [O2] the Cartan-Norden theorem for real affine immersions was proved without the non-degeneracy assumption. A similar reasoning applies to the case of affine Kähler immersions with an anti-complex shape operator, which allows us to weaken the assumptions of the theorem given in [NP]. We need only require the immersion to have a non-vanishing type number everywhere on M.

On the embedding of 1-convex manifolds with 1-dimensional exceptional set

Lucia Alessandrini, Giovanni Bassanelli (2001)

Annales de l’institut Fourier

In this paper we show that a 1-convex (i.e., strongly pseudoconvex) manifold X , with 1- dimensional exceptional set S and finitely generated second homology group H 2 ( X , ) , is embeddable in m × n if and only if X is Kähler, and this case occurs only when S does not contain any effective curve which is a boundary.

On the Example of Almost Pseudo-Z-symmetric Manifolds

Kanak Kanti Baishya, Patrik Peška (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In the present paper we have obtained a new example of non-Ricci-flat almost pseudo-Z-symmetric manifolds in the class of equidistant spaces, which admit non-trivial geodesic mappings.

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