Convergence and rigidity of manifolds under Ricci curvature bounds

1990/12/01 by Michael T. Anderson · 8 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Convergence (economics) #Curvature #Curvature of Riemannian manifolds #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Mathematical analysis #Mathematics #Pure mathematics #Ricci curvature #Ricci flow #Ricci-flat manifold #Rigidity (electromagnetism) #Scalar curvature #Sectional curvature

paper · doi:10.1007/bf01233434

crossref issued 1990/12/01 · crossref published 1990/12/01 · crossref published-print 1990/12/01 · openalex publication_date 1990/12/01 · crossref created 2005/02/26 · crossref deposited 2020/04/06 · openalex created_date 2025/10/10 · crossref indexed 2026/08/04 · openalex updated_date 2026/08/05

Citations

• The splitting theorem for manifolds of nonnegative Ricci curvature
• Some regularity theorems in riemannian geometry
• On the First Variation of a Varifold
• Einstein Manifolds
• Multiple Integrals in the Calculus of Variations

Cited by

• Limits of Riemannian 4-manifolds and the symplectic geometry of their twistor spaces
• Density of bounded maps in Sobolev spaces into complete manifolds
• Eigenvalue pinching on spinc manifolds
• Convergence of Closed Pseudo-Hermitian Manifolds
• Deformation theory of scalar-flat Kähler ALE surfaces
• Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
• Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds
• Harmonic coordinates [wikipedia]