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Ricci flow

In differential geometry and geometric analysis, the Ricci flow (/ˈriːtʃi/ REE-chee, .mw-parser-output .IPA-label-small{font-size:85%}.mw-parser-output .references .IPA-label-small,.mw-parser-output .infobox .IPA-label-small,.mw-parser-output .navbox .IPA-label-small{font-size:100%}Italian: ), sometimes also referred to as Hamilton's Ricci flow, is a…

Convergence theorems, Mathematical definition & Relation to diffusion

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Overview

Mathematical definition

Existence and uniqueness

Convergence theorems

Examples

Relationship to uniformization and geometrization

Singularities

Relation to diffusion

Recent developments

Textbooks

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  • ISBN ISBN (identifier)
  • Hdl Hdl (identifier)

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Ricci flow

Nodes100
Edges99
Triples291
Avg. degree1.98
Density0.02
Components1

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Ricci flow

Top relations

related to Textbooks · 104
Ricci flow → American Mathematical Society, An Introduction, Analytic Aspects, Andrews, Applications, Beijing, Ben, Bennett, Boca Raton, Brendle, Cambridge, Cambridge University Press, Cao, CBO9780511721465, Chow, Christine, Christopher, Chu, Clay Mathematics Institute, Clay Mathematics Monographs
related to References · 31
Ricci flow → Amer, Anderson, Articles, Barrow-Green, Bull, Geometrization, Imre, In Gowers, ISBN, John, June, Leader, Math, Mathematics, Michael, Milnor, Morgan, MR, Notices Amer, PDF
related to Relationship to uniformization and geometrization · 16
Ricci flow → Bianchi, E3, Euclidean, H3, Hamilton, Hamilton's, However, Lie, Ricci, Riemannian, S3, Suitable, This, Thurston, Under, William Thurston's
related to Ricci solitons · 16
Ricci flow → Although, An, Bamler-Cifarelli-Conlon-Deruelle, Bryant, Cao, Chow-Knopf, Cn, Cylinders Sk, Euclidean, Feldman-Ilmanen-Knopf, Kähler, Ricci, Rl, Such, There, These
related to Ricci flow on manifolds with boundary · 15
Ricci flow → Alexander Murcia, Artem Pulemotov, César Reyes, Gang Li, Jean Cortissoz, Panagiotis Gianniotis, Recently, Ricci, Second Fundamental Form, Shen, Shen's, Simon Brendle, The, Tsz-Kiu Aaron Chow, Ying Shen
related to Normalized Ricci flow · 13
Ricci flow → Define, Gs, Here, More, Now, Ricci, Riemannian, Since, Suppose, The, Then, This, Thus
related to Li–Yau inequalities · 12
Ricci flow → Furthermore, Hamilton, Let, Li, Making, Peter Li, Ric, Ricci, Riemannian, Shing-Tung Yau, Then, Yau
related to Singularities · 12
Ricci flow → For, Geometrization, Hamilton, In, Later Shi, Perelman's, Poincaré, Ricci, Riemannian, Rm, These, When
related to Mathematical definition · 10
Ricci flow → For, Given, If, On, Ric, Ricci, Ricg, Riemannian, Since, TpM
related to Constant-curvature and Einstein metrics · 9
Ricci flow → Einstein, Hamilton's, If, Let, One, Ric, Ricci, Riemannian, Then

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Important terminology

ricci flow displaystyle curvature hamilton doi riemannian 10 metric geometry mr mathematical singularities manifold positive conjecture time manifolds smooth one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ricci flowis aactive research endeavor.Below0.90text
complex projective spaceinstance ofbut the existence of compact manifolds0.80text
which has a metric of nonnegative curvature operatorinstance ofbut the existence of compact manifolds0.80text
Ricci flowrelated to Blow-up limits of singularitiesTo0.60section
Ricci flowrelated to Blow-up limits of singularitiesIntuitively0.60section
Ricci flowrelated to Blow-up limits of singularitiesRicci0.60section
Ricci flowrelated to Blow-up limits of singularitiesUnder0.60section
Ricci flowrelated to Blow-up limits of singularitiesSingularity0.60section
Ricci flowrelated to Blow-up limits of singularitiesUnderstanding0.60section
Ricci flowrelated to Blow-up limits of singularitiesBelow0.60section
Ricci flowrelated to Blow-up limits of singularitiesLet0.60section
Ricci flowrelated to Constant-curvature and Einstein metricsLet0.60section

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