  Let M be a (bounded or not) domain of C^n which is complete with respect to a
K\"ahler metric, or more generally, a complete K\"ahler manifold with trivial
canonical bundle. Let f be a linearly nondegenerate meromorphic map from M to
the complex projective space P^m. Under an assumption on the positivity of the
pull-back by f of the Fubini-Study form on P^m, we prove that f can not omit a
certain number of hyperplanes in subgeneral position in P^m. This is deduced
directly from a non-integrated defect relation for such f which generalizes
that obtained by Fujimoto in the case where M is a ball.
