  In this paper we study Kaehler manifolds that are strongly not relative to
any projective Kaehler manifold, i.e. those Kaehler manifolds that do not share
a Kaehler submanifold with any projective Kaehler 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 Kaehler 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
Kaehler manifolds.
