  We prove Sobolev embedding Theorems with weights for vector bundles in a
complete riemannian manifold. We also get general Gaffney's inequality with
weights. As a consequence, under a "weak bounded geometry" hypothesis, we
improve classical Sobolev embedding Theorems for vector bundles in a complete
riemannian manifold. We also improve known results on Gaffney's inequality in a
complete riemannian manifold.
