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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access February 8, 2017

Strongly not relatives Kähler manifolds

Michela Zedda EMAIL logo
From the journal Complex Manifolds

Abstract

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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Received: 2016-9-24
Accepted: 2016-11-6
Published Online: 2017-2-8
Published in Print: 2017-2-23

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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