Embedded Minimal Surfaces, Exotic Spheres, and Manifolds with Positive Ricci Curvature

1982/11/01 by William H. Meeks, Leon Simon, Shing–Tung Yau · 6 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Geometric and Algebraic Topology #Mathematics #SPHERES #Ricci curvature #Curvature #Pure mathematics #Curvature of Riemannian manifolds #Scalar curvature #Sectional curvature #Mathematical analysis #Geometry #Astronomy #Physics

paper · doi:10.2307/2007026

openalex publication_date 1982/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/18

Abstract

William Meeks III, Leon Simon, Shing-Tung Yau, Embedded Minimal Surfaces, Exotic Spheres, and Manifolds with Positive Ricci Curvature, Annals of Mathematics, Second Series, Vol. 116, No. 3 (Nov., 1982), pp. 621-659

Citations

• The classical plateau problem and the topology of three-dimensional manifolds
• On the Fundamental Group of a Compact Minimal Submanifold
• The unknottedness of minimal embeddings
• Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

Cited by

• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Perspectives on geometric analysis
• Orderable 3-manifold groups
• Embeddings, Immersions and the Bartnik Quasi-Local Mass Conjectures
• Instability of the extreme Kerr-Newman black-holes
• Shing-Tung Yau [wikipedia]