Strongly not relatives Kähler manifolds

Michela Zedda. "Strongly not relatives Kähler manifolds." Complex Manifolds 4.1 (2017): 1-6. <http://eudml.org/doc/288079>.

@article{MichelaZedda2017,
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.},
author = {Michela Zedda},
journal = {Complex Manifolds},
keywords = {Kähler manifolds; complex submanifolds; diastasis function},
language = {eng},
number = {1},
pages = {1-6},
title = {Strongly not relatives Kähler manifolds},
url = {http://eudml.org/doc/288079},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Michela Zedda
TI - Strongly not relatives Kähler manifolds
JO - Complex Manifolds
PY - 2017
VL - 4
IS - 1
SP - 1
EP - 6
AB - 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.
LA - eng
KW - Kähler manifolds; complex submanifolds; diastasis function
UR - http://eudml.org/doc/288079
ER -