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Richard Hamilton's 1982 Ricci flow program, as reported in the Clay Mathematics Institute press release of March 18, 2010

Источник пакета 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
номер
https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf#ricci-flow-1982
вид
urn:doctrine:math:hamilton-ricci-flow-1982#treatise

HAMILTON_EXPOSITION_EDITION

edition
urn:doctrine:math:hamilton-ricci-flow-1982#HAMILTON_EXPOSITION_EDITION
язык
en
официальность
unofficial
материализация
PINNED_UNOFFICIAL_COPY
жизненный цикл
—

Публикации

URIТипdocumentHashПолучено
https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdftext/plain; charset=utf-8sha256:3b4b82cb233b350338e2f0ae674b5b6ea3f526a40ec282773f42305c2e88c3d62026-09-17T00:00:00Z

Фрагменты — 3

hamilton-1982-positive-curvature · lemma · на него ссылаются: 6

en · official · sha256:959c0b43c4a49c9f7823148d84d2d5d89b387aeae411886ff8f526ebc4d62e81EN

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.

Ссылаются нормы: HamiltonPositiveCurvatureDirect, HamiltonProof, HamiltonRicciFlowProgramClaim, hamilton-proves-program-claim, hamilton_positive_curvature_case_established_for, has_positive_ricci_curvature

ricci-flow-1982 · lemma · на него ссылаются: 1

en · official · sha256:69958d0afa82e53464a72da55ee060725f096f29baa33a9939ff4770760be050EN

Around 1982, however, a new line of attack was opened. This was the Ricci flow method pioneered and developed by Richard Hamilton.

Ссылаются нормы: HamiltonSource

ref-ha1 · defn

en · official · sha256:630bb3419f68c8a87e47bf0340a653898486cf70c7bfab73afb1412e5ffdb53bEN

[Ha1] R. Hamilton, Three-manifolds with positive Ricci curvature, Journal of Differential Geometry, vol. 17:255-306 (1982)

Хэш рядом с текстом — sha256 его точных байтов. Он и есть проверка того, что показанный текст совпадает с закреплённым в пакете: расхождение роняет статику оракула.