  A classical result of D. McDuff asserts that a simply-connected complete
Kaehler manifold $(M,g,\omega)$ with non positive sectional curvature admits
global symplectic coordinates through a symplectomorphism $\Psi: M\rightarrow
R^{2n}$ (where $n$ is the complex dimension of $M$), satisfying the following
property (proved by E. Ciriza): the image $\Psi (T)$ of any complex totally
geodesic submanifold $T\subset M$ through the point $p$ such that $\Psi(p)=0$,
is a complex linear subspace of $C^n \simeq R^{2n}$. The aim of this paper is
to exhibit, for all positive integers $n$, examples of $n$-dimensional complete
Kaehler manifolds with non-negative sectional curvature globally
symplectomorphic to $R^{2n}$ through a symplectomorphism satisfying Ciriza's
property.
