Four-manifolds with positive isotropic curvature

1997/01/01 by Richard S. Hamilton · 16 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #Computational Geometry and Mesh Generation #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.4310/cag.1997.v5.n1.a1

openalex publication_date 1997/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/18

Abstract

(2) The Smoothing Procedure 81 7. A replacement for Schoenfliess Conjecture 88

Citations

• A Compactness Property for Solutions of the Ricci Flow

Cited by

• Homogeneous spaces with two equivalent isotropy summands develop positive Ricci curvature under Ricci flow
• Singularity models of pinched solutions of mean curvature flow in higher codimension
• Notes on Perelman’s papers
• A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow
• Review of geometry and analysis
• Recent progress on the Poincaré conjecture and the classification of 3-manifolds
• Lectures on the Ricci Flow
• Differential Harnack Inequalities and the Ricci Flow
• A general convergence result for the Ricci flow in higher dimensions
• The Ricci Flow: An Introduction
• Perspectives on geometric analysis
• Weak solutions for the Ricci flow I
• Conjecture [wikipedia]
• Grigori Perelman [wikipedia]
• Ricci flow [wikipedia]
• Richard S. Hamilton [wikipedia]