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arXiv · 1608.03163

Strongly not relatives Kaehler manifolds

Michela Zedda
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Abstract

In this paper we study Kaehler manifolds that are strongly not relative to any projective Kaehler manifold, i.e. those Kaehler manifolds that do not share a Kaehler submanifold with any projective Kaehler manifold even when their metric is rescaled by the multiplication by a positive constant. We prove two results which highlight some relations between this property and the existence of a full Kaehler immersion into the infinite dimensional complex projective space. As application we get that the 1-parameter families of Bergman-Hartogs and Fock-Bargmann-Hartogs domains are strongly not relative to projective Kaehler manifolds.

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Michela Zedda. 2016-08-10. Strongly not relatives Kaehler manifolds. https://arxiv.org/abs/1608.03163

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