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- Uniformization_theorem abstract "In mathematics, the uniformization theorem says that every simply connected Riemann surface is conformally equivalent to one of the three domains: the open unit disk, the complex plane, or the Riemann sphere. In particular it admits a Riemannian metric of constant curvature. This classifies Riemannian surfaces as elliptic (positively curved – rather, admitting a constant positively curved metric), parabolic (flat), and hyperbolic (negatively curved) according to their universal cover.The uniformization theorem is a generalization of the Riemann mapping theorem from proper simply connected open subsets of the plane to arbitrary simply connected Riemann surfaces.The uniformization theorem implies a similar result for arbitrary connected second countable surfaces: they can be given Riemannian metrics of constant curvature.".
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- Uniformization_theorem wikiPageExternalLink 362529354.
- Uniformization_theorem wikiPageExternalLink GrayRMT.pdf.
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- Uniformization_theorem wikiPageID "288270".
- Uniformization_theorem wikiPageRevisionID "587515657".
- Uniformization_theorem author3Link "Gang Tian".
- Uniformization_theorem authorlink "Paul Koebe".
- Uniformization_theorem doi "10.109".
- Uniformization_theorem first "Gang".
- Uniformization_theorem first "N.A.".
- Uniformization_theorem first "Paul".
- Uniformization_theorem first "Peng".
- Uniformization_theorem first "Xiuxiong".
- Uniformization_theorem hasPhotoCollection Uniformization_theorem.
- Uniformization_theorem id "U/u095290".
- Uniformization_theorem issn "2".
- Uniformization_theorem issue "11".
- Uniformization_theorem journal Proceedings_of_the_American_Mathematical_Society.
- Uniformization_theorem last "Chen".
- Uniformization_theorem last "Gusevskii".
- Uniformization_theorem last "Koebe".
- Uniformization_theorem last "Lu".
- Uniformization_theorem last "Tian".
- Uniformization_theorem mr "2231924".
- Uniformization_theorem pages "3391".
- Uniformization_theorem title "A note on uniformization of Riemann surfaces by Ricci flow".
- Uniformization_theorem title "Uniformization".
- Uniformization_theorem volume "134".
- Uniformization_theorem year "1907".
- Uniformization_theorem year "2006".
- Uniformization_theorem subject Category:Riemann_surfaces.
- Uniformization_theorem subject Category:Theorems_in_differential_geometry.
- Uniformization_theorem type Abstraction100002137.
- Uniformization_theorem type Communication100033020.
- Uniformization_theorem type Message106598915.
- Uniformization_theorem type Proposition106750804.
- Uniformization_theorem type Statement106722453.
- Uniformization_theorem type Theorem106752293.
- Uniformization_theorem type TheoremsInDifferentialGeometry.
- Uniformization_theorem type TheoremsInGeometry.
- Uniformization_theorem comment "In mathematics, the uniformization theorem says that every simply connected Riemann surface is conformally equivalent to one of the three domains: the open unit disk, the complex plane, or the Riemann sphere. In particular it admits a Riemannian metric of constant curvature.".
- Uniformization_theorem label "Teorema di uniformizzazione di Riemann".
- Uniformization_theorem label "Théorème d'uniformisation de Riemann".
- Uniformization_theorem label "Uniformeringsstelling".
- Uniformization_theorem label "Uniformization theorem".
- Uniformization_theorem label "单值化定理".
- Uniformization_theorem sameAs Théorème_d'uniformisation_de_Riemann.
- Uniformization_theorem sameAs Teorema_di_uniformizzazione_di_Riemann.
- Uniformization_theorem sameAs 균일화_정리.
- Uniformization_theorem sameAs Uniformeringsstelling.
- Uniformization_theorem sameAs m.01q9_7.
- Uniformization_theorem sameAs Q2109761.
- Uniformization_theorem sameAs Q2109761.
- Uniformization_theorem sameAs Uniformization_theorem.
- Uniformization_theorem wasDerivedFrom Uniformization_theorem?oldid=587515657.
- Uniformization_theorem isPrimaryTopicOf Uniformization_theorem.