Strongly not relatives Kähler manifolds

• Autorzy: Michela Zedda
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Kähler manifolds; complex submanifolds; diastasis function

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 1-6

Daty

wydano

2017-02-01

otrzymano

2016-09-24

zaakceptowano

2016-11-06

online

2017-02-08

Twórcy

autor

Michela Zedda

• Dipartimento di Matematica e Fisica, Università del Salento,,

Identyfikatory

DOI

10.1515/coma-2017-0001