Strongly not relatives Kähler manifolds

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 t...

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Autor principal:	Zedda Michela
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2017
Materias:	kähler manifolds complex submanifolds diastasis function Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/dd265c90a05643bfbf599301cb448fad
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id	oai:doaj.org-article:dd265c90a05643bfbf599301cb448fad
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spelling	oai:doaj.org-article:dd265c90a05643bfbf599301cb448fad2021-12-02T19:07:56ZStrongly not relatives Kähler manifolds2300-744310.1515/coma-2017-0001https://doaj.org/article/dd265c90a05643bfbf599301cb448fad2017-02-01T00:00:00Zhttps://doi.org/10.1515/coma-2017-0001https://doaj.org/toc/2300-7443In 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.Zedda MichelaDe Gruyterarticlekähler manifoldscomplex submanifoldsdiastasis functionMathematicsQA1-939ENComplex Manifolds, Vol 4, Iss 1, Pp 1-6 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	kähler manifolds complex submanifolds diastasis function Mathematics QA1-939
spellingShingle	kähler manifolds complex submanifolds diastasis function Mathematics QA1-939 Zedda Michela Strongly not relatives Kähler manifolds
description	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.
format	article
author	Zedda Michela
author_facet	Zedda Michela
author_sort	Zedda Michela
title	Strongly not relatives Kähler manifolds
title_short	Strongly not relatives Kähler manifolds
title_full	Strongly not relatives Kähler manifolds
title_fullStr	Strongly not relatives Kähler manifolds
title_full_unstemmed	Strongly not relatives Kähler manifolds
title_sort	strongly not relatives kähler manifolds
publisher	De Gruyter
publishDate	2017
url	https://doaj.org/article/dd265c90a05643bfbf599301cb448fad
work_keys_str_mv	AT zeddamichela stronglynotrelativeskahlermanifolds
_version_	1718377180316041216

Strongly not relatives Kähler manifolds

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