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Complex Manifolds

Ed. by Fino, Anna Maria

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CiteScore 2018: 0.64

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Strongly not relatives Kähler manifolds

Michela Zedda
Published Online: 2017-02-08 | DOI: https://doi.org/10.1515/coma-2017-0001


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.

Keywords: Kähler manifolds; complex submanifolds; diastasis function


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About the article

Received: 2016-09-24

Accepted: 2016-11-06

Published Online: 2017-02-08

Published in Print: 2017-02-23

Citation Information: Complex Manifolds, Volume 4, Issue 1, Pages 1–6, ISSN (Online) 2300-7443, DOI: https://doi.org/10.1515/coma-2017-0001.

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© 2017. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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