Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature

1996/01/18 by Gerhard Huisken, Shing-Tung Yau, Shing–Tung Yau · 3 citations
Mathematics · Physics and Astronomy · #Center (category theory) #Center of curvature #Center of mass (relativistic) #Classical mechanics #Constant (computer programming) #Constant curvature #Crystallography #Curvature #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Mathematical analysis #Mathematics #Mean curvature #Physical constant #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #SPHERES

paper · doi:10.1007/s002220050054

crossref issued 1996/01/18 · crossref published 1996/01/18 · crossref published-print 1996/01/18 · openalex publication_date 1996/01/18 · crossref created 2002/08/25 · crossref deposited 2019/05/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/28 · openalex updated_date 2026/08/04

Citations

• On the proof of the positive mass conjecture in general relativity
• Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
• The mass of an asymptotically flat manifold
• Proof of the positive mass theorem. II
• Curvature estimates for minimal hypersurfaces
• A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

Cited by

• Perspectives on geometric analysis
• On the Center of Mass of Asymptotically Hyperbolic Initial Data Sets
• Shing-Tung Yau [wikipedia]