On the structure of manifolds with positive scalar curvature

1979/01/01 by R. Schoen, S. T. Yau, S.-T. Yau · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Operator Algebra Research #Algebraic geometry #Curvature #Curvature of Riemannian manifolds #Geometric Analysis and Curvature Flows #Geometry #Mathematical analysis #Mathematics #Number theory #Prescribed scalar curvature problem #Pure mathematics #Ricci-flat manifold #Scalar (mathematics) #Scalar curvature #Sectional curvature

paper · doi:10.1007/bf01647970

crossref issued 1979/01/01 · crossref published 1979/01/01 · crossref published-print 1979/01/01 · openalex publication_date 1979/01/01 · crossref created 2005/05/07 · crossref deposited 2020/04/07 · openalex created_date 2025/10/10 · crossref indexed 2026/07/14 · openalex updated_date 2026/07/23

Citations

• On the proof of the positive mass conjecture in general relativity
• Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

Cited by

• Positive scalar curvature and the Dirac operator on complete riemannian manifolds
• Perspectives on geometric analysis
• Surgery stable curvature conditions
• Shing-Tung Yau [wikipedia]