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

2011/01/11 by Hubert L. Bray, Bray, Hubert L. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1101.2230

openalex publication_date 2011/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The Higher Dimensional Positive Mass Theorem II
• On the proof of the positive mass conjecture in general relativity
• The mass of an asymptotically flat manifold
• A new proof of the positive energy theorem
• Minimal Varieties in Riemannian Manifolds
• Stability and rigidity of extremal surfaces in Riemannian geometry and General Relativity

Cited by

• Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfaces

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