Source / pinned edition
Richard Hamilton's 1982 Ricci flow program, as reported in the Clay Mathematics Institute press release of March 18, 2010
Source of package hamilton.ricci_flow_program · https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf#ricci-flow-1982
- work
- urn:doctrine:math:hamilton-ricci-flow-1982#HAMILTON_EXPOSITION
- number
- https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf#ricci-flow-1982
- kind
- urn:doctrine:math:hamilton-ricci-flow-1982#treatise
HAMILTON_EXPOSITION_EDITION
- edition
- urn:doctrine:math:hamilton-ricci-flow-1982#HAMILTON_EXPOSITION_EDITION
- language
- en
- officiality
- unofficial
- materialisation
- PINNED_UNOFFICIAL_COPY
- life cycle
- —
Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf | text/plain; charset=utf-8 | sha256:3b4b82cb233b350338e2f0ae674b5b6ea3f526a40ec282773f42305c2e88c3d6 | 2026-09-17T00:00:00Z |
Fragments — 3
hamilton-1982-positive-curvature · lemma · referenced by: 6
en · official · sha256:959c0b43c4a49c9f7823148d84d2d5d89b387aeae411886ff8f526ebc4d62e81
Indeed, in 1982 Hamilton showed that for positively curved, simply connected shapes of dimension three (compact three-manifolds) the Ricci flow transforms the shape into one that is ever more like the round three-sphere. In the long run, it becomes almost indistinguishable from this perfect, ideal shape. When the curvature is not strictly positive, however, solutions of the Ricci flow equation behave in a much more complicated way.Referencing norms: HamiltonPositiveCurvatureDirect, HamiltonProof, HamiltonRicciFlowProgramClaim, hamilton-proves-program-claim, hamilton_positive_curvature_case_established_for, has_positive_ricci_curvature
ricci-flow-1982 · lemma · referenced by: 1
en · official · sha256:69958d0afa82e53464a72da55ee060725f096f29baa33a9939ff4770760be050
Around 1982, however, a new line of attack was opened. This was the Ricci flow method pioneered and developed by Richard Hamilton.Referencing norms: HamiltonSource
ref-ha1 · defn
en · official · sha256:630bb3419f68c8a87e47bf0340a653898486cf70c7bfab73afb1412e5ffdb53b
[Ha1] R. Hamilton, Three-manifolds with positive Ricci curvature, Journal of Differential Geometry, vol. 17:255-306 (1982)The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.