  We study local in time Strichartz estimates for the Schroedinger equation
associated to long range perturbations of the flat Laplacian on the euclidean
space. We prove that in such a geometric situation, outside of a large ball
centered at the origin, the solutions of the Schroedinger equation enjoy the
same Strichartz estimates as in the non perturbed situation. The proof is based
on the Isozaki-Kitada parametrix construction. If in addition the metric is non
trapping, we prove that the Strichartz estimates hold in the whole space.
