On the Positive Mass, Penrose, an ZAS Inequalities in General Dimension

Abstract

After a detailed introduction including new examples, we give an exposition focusing on the Riemannian cases of the positive mass, Penrose, and ZAS in- equalities of general relativity, in general dimension.

Will appear in the book "Surveys in Geometric Analysis and Relativity celebrating Richard Schoen's 60th birthday."

References in corpus (4)

• The Higher Dimensional Positive Mass Theorem II
• Singular Minimal Hypersurfaces and Scalar Curvature
• Stability and rigidity of extremal surfaces in Riemannian geometry and General Relativity
• Inductive Analysis on Singular Minimal Hypersurfaces

Cited by in corpus (2)

• A new mass for asymptotically flat manifolds
• A positive mass theorem in the Einstein-Gauss-Bonnet theory