Local solvability of elliptic, and curvature, equations on compact manifolds

DOI10.1515/crll.2003.041zbMath1040.53047OpenAlexW1985445475MaRDI QIDQ4415685

Philippe P. Delanoë

Publication date: 6 August 2003

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2003.041

zbMATH Keywords

Fredholm theoremadjoint-clean operatorlocal Fredholm resolutionprescribed Ricci curvature problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear elliptic equations (35J60) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Metrics with prescribed Ricci curvature on homogeneous spaces ⋮ $L^p$ almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equation ⋮ Metrics with prescribed Ricci curvature near the boundary of a manifold ⋮ Inversion of some curvature operators near a parallel Ricci metric ⋮ Local stability of Einstein metrics under the Ricci iteration ⋮ Ricci iteration on homogeneous spaces ⋮ Inversion d'opérateurs de courbures au voisinage de la métrique euclidienne ⋮ On the local solvability of elliptic equations on compact manifolds ⋮ The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds

Cites Work

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