Uniformization theorem

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Methods of proof

Harmonic function Green's function Perron method Schwarz alternating method Dirichlet's principle

24 related topics

Classification of closed oriented Riemannian 2-manifolds

Isothermal coordinates General theory of the Beltrami equation Exterior derivative Hodge star operator Laplace–Beltrami operator

16 related topics

Historic references

Schwarz, H. A.JFM Mathematische Annalen Doi ISSN

10 related topics

History

Klein De Saint-Gervais (2016)Poincaré PaulKoebe Bourbaki

5 related topics

Topics to explore

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Overview

Simply connected
Riemann surface
Conformally equivalent Conformal equivalence
Unit disk
Complex plane
Riemann sphere
Riemann mapping theorem
Open Open set
Subsets Subset
Universal cover
Riemannian metric
Constant curvature
Orientable Orientable manifold
Riemannian 2-manifolds Riemannian manifold

History

Klein Felix Klein
De Saint-Gervais (2016) Uniformization theorem
Poincaré Henri Poincaré
PaulKoebe Paul Koebe
Bourbaki Nicolas Bourbaki

Generalizations

Historic references

Schwarz, H. A. Hermann Schwarz
JFM JFM (identifier)
Mathematische Annalen
Doi Doi (identifier)
ISSN ISSN (identifier)
S2CID S2CID (identifier)
Acta Mathematica
Perron, O. Oskar Perron
Mathematische Zeitschrift
ISBN ISBN (identifier)

Historical surveys

JSTOR JSTOR (identifier)
Gray, Jeremy Jeremy Gray (mathematician)
MR MR (identifier)
Bottazzini, Umberto Umberto Bottazzini

Harmonic functions

Ahlfors, Lars V. Lars Ahlfors
Kra, Irwin Irwin Kra
Gamelin, Theodore W. Theodore Gamelin
Nevanlinna, Rolf Rolf Nevanlinna
Donaldson, Simon Simon Donaldson

Nonlinear differential equations

Jost, Jürgen Jürgen Jost
Bibcode Bibcode (identifier)
Brendle, Simon Simon Brendle
Tian, Gang Gang Tian
Proceedings of the American Mathematical Society
ArXiv ArXiv (identifier)
Israel Journal of Mathematics

General references

Advanced semantic analysis

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Map overview Semantic statistics

Nodes111

Edges110

Triples110

Avg. degree1.98

Density0.018018

Components1

How this topic connects Entity context

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Uniformization theorem

Top relations

related to Historical surveys · 40

Uniformization theorem → Abikoff, Amer, Burns, Circolo Matematico, Complex Function Theory, European Mathematical Society, French, Geometric Fantasies, Gray, Henri Paul, Hidden Harmony, History, ISBN, Jeremy, JSTOR, Koebe, Math, Mathematics, Monthly, MR

has method · 39

Uniformization theorem → Although Rado's, Beltrami, Brouwer's, Dedicated, Die Idee, Dirichlet, Dirichlet's, Donaldson, English, Felix Klein, Four, Green's, Göttingen, Hermann Weyl, Hilbert, Hilbert's, Hodge's, In, It, Kodaira

related to history · 12

Uniformization theorem → Bourbaki-type, Felix Klein, Gray, Henri Poincaré, HenriPoincaré, Koebe, Paul Koebe, PaulKoebe, Poincaré, Riemann, Saint-Gervais, The

related to Nonlinear flows · 10

Uniformization theorem → Andrews, Bryan, Chen, Hamilton, However, Lu, Ricci, Richard, The, Tian

related to Generalizations · 8

Uniformization theorem → Grigori Perelman, In, Jordan, Koebe, Not, Riemann, Thurston, Thurston's

see also · 1

Uniformization theorem → Circle

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Important terminology

riemann doi isbn surfaces uniformization theorem 10 vol complex springer mathematics surface riemannian theory math mathematical sphere curvature elliptic method

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Uniformization theorem	has method	Many	0.60	section
Uniformization theorem	has method	Riemann	0.60	section
Uniformization theorem	has method	Green's	0.60	section
Uniformization theorem	has method	Four	0.60	section
Uniformization theorem	has method	Perron	0.60	section
Uniformization theorem	has method	Schwarz	0.60	section
Uniformization theorem	has method	Dirichlet's	0.60	section
Uniformization theorem	has method	Weyl's	0.60	section
Uniformization theorem	has method	In	0.60	section
Uniformization theorem	has method	Riemannian	0.60	section
Uniformization theorem	has method	These	0.60	section
Uniformization theorem	has method	Beltrami	0.60	section

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Min side: 3

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Methods of proof

Classification of closed oriented Riemannian 2-manifolds

Historic references

History

Key facts & relationships

Topics to explore

Overview

History

Classification of connected Riemann surfaces

Classification of closed oriented Riemannian 2-manifolds

Methods of proof

Generalizations

Historic references

Historical surveys

Harmonic functions

Nonlinear differential equations

General references

Advanced semantic analysis

Map overview Semantic statistics

Uniformization theorem

How this topic connects Entity context

Uniformization theorem

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges