Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds

1988/01/01 by Patricio Avilés, Robert McOwen · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Scalar curvature #Mathematics #Conformal map #Curvature of Riemannian manifolds #Constant (computer programming) #Prescribed scalar curvature problem #Ricci-flat manifold #Sectional curvature #Negative curvature #Curvature #Scalar (mathematics) #Deformation (meteorology) #Yamabe flow #Mathematical physics #Mathematical analysis #Geometry #Pure mathematics #Geology

paper · pdf · doi:10.4310/jdg/1214441781

openalex publication_date 1988/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Si (M, g) est une variete de Riemann complete de courbure scalaire non positive S satisfaisant S(x)≤−e<0 pour x∈M/M 0 , ou M 0 est un ensemble compact, alors il y a une metrique conforme complete g~ de courbure scalaire S~≡−1

Citations

• Nonlinear Analysis on Manifolds. Monge-Ampère Equations
• Elliptic Partial Differential Equations of Second Order
• An extension of E. Hopf’s maximum principle with an application to Riemannian geometry
• PROBLEM SECTION

Cited by

• Yamabe problem [wikipedia]