What is recorded here?
Introduced and analyzed the Ricci-flow evolution equation to show that a compact three-manifold with positive Ricci curvature admits a metric of constant positive curvature.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is the exact 1982 Journal of Differential Geometry paper. Later Ricci-flow singularity theory, Hamilton’s wider program and Perelman’s geometrization work remain separate.
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People and systems
Richard S. Hamilton
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
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Documented countries / regions: United States
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English catalogue narrative
Hamilton: three-manifolds with positive Ricci curvature
Introduced and analyzed the Ricci-flow evolution equation to show that a compact three-manifold with positive Ricci curvature admits a metric of constant positive curvature.
Scientific scope
The record is the exact 1982 Journal of Differential Geometry paper. Later Ricci-flow singularity theory, Hamilton’s wider program and Perelman’s geometrization work remain separate.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Richard S. Hamilton
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.