Proof of the positive mass conjecture

DOI10.1016/j.jfa.2006.05.001zbMath1112.53029OpenAlexW2052667527MaRDI QIDQ859639

Thierry Aubin

Publication date: 16 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.05.001

zbMATH Keywords

Green functionconformal Laplacianpositive mass

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Applications of global differential geometry to the sciences (53C80) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

The mass according to Arnowitt, Deser and Misner ⋮ Compactness of solutions to the Yamabe problem. III ⋮ The Yamabe problem with singularities ⋮ On the \(C^0\) compactness of the set of the solutions of the Yamabe equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarque sur le problème de Yamabe. (Remark on the problem of Yamabe)
• On some problems of scalar curvature
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Conformally flat manifolds, Kleinian groups and scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• On the proof of the positive mass conjecture in general relativity
• Conformal normal coordinates
• A priori estimates for the Yamabe problem in the non-locally conformally flat case
• Compactness of solutions to the Yamabe problem. II
• On conformally-flat spaces in the large
• The Existence of Generalized Isothermal Coordinates for Higher Dimensional Riemannian Manifolds
• YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS

This page was built for publication: Proof of the positive mass conjecture