Strongly not relatives Kähler manifolds

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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.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Strongly not relatives Kähler manifolds ; volume:4 ; number:1 ; year:2017 ; pages:1-6 ; extent:6
Complex manifolds ; 4, Heft 1 (2017), 1-6 (gesamt 6)

Urheber
Zedda, Michela

DOI
10.1515/coma-2017-0001
URN
urn:nbn:de:101:1-2410281508576.656158286534
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:34 MESZ

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Beteiligte

  • Zedda, Michela

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