Inversion d'opérateurs de courbure au voisinage d'une métrique Ricci parallèle

2014/04/07 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.1404.1865

openalex publication_date 2014/04/07 · openalex created_date 2022/09/14 · openalex updated_date 2026/07/28

Abstract

Let (M,g) be a compact riemannian manifold without boundary., with parallel Rici curvature. We show that some operators, affine relatively to the Ricci curvature,are locally invertible, near the metric g

Related

• Inversion of some curvature operators near a parallel Ricci metric II: Non-compact manifold with bounded geometry
• Inversion d'opérateurs de courbures au voisinage de la métrique euclidienne
• Prescribed Ricci curvature near an Einstein manifold with boundary
• On the Existence of Certain Metrics with Non Parallel Ricci Tensor
• Ricci pinched compact submanifolds in space forms