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.
Strongly not relatives Kähler manifolds / Zedda, Michela. - In: COMPLEX MANIFOLDS. - ISSN 2300-7443. - 4(2017), pp. 1-6. [10.1515/coma-2017-0001]
|Appare nelle tipologie:||1.1 Articolo su rivista|