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

2017/01/23 by Erwann Delay, Delay, Erwann
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1701.06390

openalex publication_date 2017/01/23 · openalex created_date 2017/02/03 · openalex updated_date 2026/07/28

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.

Related

• Inversion d'opérateurs de courbure au voisinage d'une métrique Ricci parallèle
• Prescribed Ricci curvature near an Einstein manifold with boundary
• Inversion d'opérateurs de courbures au voisinage de la métrique euclidienne
• On the Existence of Certain Metrics with Non Parallel Ricci Tensor
• Ricci pinched compact submanifolds in space forms