Inversion of some curvature operators near a parallel Ricci metric II: Non-compact manifold with bounded geometry

Abstract

Let (M,g) be a complete noncompact riemannian manifold with bounded geometry and parallel Ricci curvature. We show that some operators, "affine" relatively to the Ricci curvature, are locally invertible, in some classical Sobolev spaces, near the metric g.

in French. arXiv admin note: text overlap with arXiv:1404.1196