Three-manifolds with positive Ricci curvature

1982/01/01 by Richard S. Hamilton · 49 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.4310/jdg/1214436922

crossref issued 1982/01/01 · crossref published 1982/01/01 · crossref published-print 1982/01/01 · openalex publication_date 1982/01/01 · crossref created 2017/03/16 · crossref deposited 2021/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02 · crossref indexed 2026/08/04

Abstract

The evolution equation 259 4. Solution for a short time 260 5. Evolution equations with an integrability condition 262 6. Weakly parabolic linear systems 265 7. Evolution of the curvature 273 8. Curvature in dimension three 276 9. Preserving positive Ricci curvature .279 10. Pinching the eigenvalues 283 11. The gradient of the scalar curvature 286 12. Interpolation inequalities for tensors 291 13. Higher derivatives of the curvature .294 14. Long time existence 296 15. Controlling R^/R^ 299 16. Estimating the normalized equation 300 17. Exponential convergence 301

Citations

• Harmonic Mappings of Riemannian Manifolds

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