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Non-singular solutions of the Ricci flow on three-manifolds

Richard S. Hamilton

Communications in Analysis and Geometry · 1999 · 146 citations · 7 references

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Concepts

Abstract

Definition 1.2. We say a solution to the normalized Ricci flow collapses if

References

7

Three-manifolds with positive Ricci curvature

Richard S. Hamilton · Journal of Differential Geometry · 1982 · 3K citations · Full text

, , +17

Four-manifolds with positive curvature operator

Richard S. Hamilton · Journal of Differential Geometry · 1986 · 808 citations · Full text

, , +15

Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

Shing–Tung Yau · Annals of Mathematics · 1979 · 627 citations

, , +13

A Compactness Property for Solutions of the Ricci Flow

Richard S. Hamilton · American Journal of Mathematics · 1995 · 369 citations

, , +12

Collapsing Riemannian manifolds while keeping their curvature bounded. I

Jeff Cheeger, Mikhael Gromov · Journal of Differential Geometry · 1986 · 326 citations · Full text

, , +9