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Strongly not relatives Kähler manifolds

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Zedda M.

Complex Manifolds

2017

tom 4

nr 1

1-6

In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler 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 Kähler 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 Kähler manifolds.

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1 Complex Manifolds

1 Zedda M.

1 2017

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Strongly not relatives Kähler manifolds