"\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u043E\u0431 \u0443\u043D\u0438\u0444\u043E\u0440\u043C\u0438\u0437\u0430\u0446\u0438\u0438 \u2014 \u043E\u0431\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u0442\u0435\u043E\u0440\u0435\u043C\u044B \u0420\u0438\u043C\u0430\u043D\u0430 \u043E\u0431 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0438 \u043D\u0430 \u0434\u0432\u0443\u043C\u0435\u0440\u043D\u044B\u0435 \u0440\u0438\u043C\u0430\u043D\u043E\u0432\u044B \u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u044F. \u041C\u043E\u0436\u043D\u043E \u0441\u043A\u0430\u0437\u0430\u0442\u044C, \u0447\u0442\u043E \u0442\u0435\u043E\u0440\u0435\u043C\u0430 \u0434\u0430\u0451\u0442 \u043D\u0430\u0438\u043B\u0443\u0447\u0448\u0443\u044E \u043C\u0435\u0442\u0440\u0438\u043A\u0443 \u0432 \u0434\u0430\u043D\u043D\u043E\u043C \u043A\u043E\u043D\u0444\u043E\u0440\u043C\u043D\u043E\u043C \u043A\u043B\u0430\u0441\u0441\u0435."@ru . . . "Il teorema di uniformizzazione di Riemann \u00E8 un importante teorema di analisi complessa, dimostrato dal matematico Bernhard Riemann. Il teorema descrive un forte collegamento fra l'analisi complessa e la geometria differenziale per le superfici."@it . . . "\u5355\u503C\u5316\u5B9A\u7406"@zh . . . . . . . "1066573590"^^ . . . . . "In mathematics, the uniformization theorem says that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces: the open unit disk, the complex plane, or the Riemann sphere. The theorem is a generalization of the Riemann mapping theorem from simply connected open subsets of the plane to arbitrary simply connected Riemann surfaces."@en . . . . . . . "En math\u00E9matiques, le th\u00E9or\u00E8me d'uniformisation de Riemann est un r\u00E9sultat de base dans la th\u00E9orie des surfaces de Riemann, c'est-\u00E0-dire des vari\u00E9t\u00E9s complexes de dimension 1. Il assure que toute surface de Riemann simplement connexe peut \u00EAtre mise en correspondance biholomorphe avec l'une des trois surfaces suivantes : le plan complexe C, le disque unit\u00E9 de ce plan, ou la sph\u00E8re de Riemann, c'est-\u00E0-dire la droite projective complexe P1(C)."@fr . "\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u043F\u0440\u043E \u0443\u043D\u0456\u0444\u043E\u0440\u043C\u0456\u0437\u0430\u0446\u0456\u044E \u2014 \u0443\u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0435\u043D\u043D\u044F \u0442\u0435\u043E\u0440\u0435\u043C\u0438 \u0420\u0456\u043C\u0430\u043D\u0430 \u043F\u0440\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043D\u0430 \u0434\u0432\u043E\u0432\u0438\u043C\u0456\u0440\u043D\u0456 \u0440\u0456\u043C\u0430\u043D\u043E\u0432\u0456 \u043C\u043D\u043E\u0433\u043E\u0432\u0438\u0434\u0438. \u041C\u043E\u0436\u043D\u0430 \u0441\u043A\u0430\u0437\u0430\u0442\u0438, \u0449\u043E \u0442\u0435\u043E\u0440\u0435\u043C\u0430 \u0434\u0430\u0454 \u043D\u0430\u0439\u043A\u0440\u0430\u0449\u0443 \u043C\u0435\u0442\u0440\u0438\u043A\u0443 \u0432 \u0434\u0430\u043D\u043E\u043C\u0443 \u043A\u043E\u043D\u0444\u043E\u0440\u043C\u043D\u043E\u043C\u0443 \u043A\u043B\u0430\u0441\u0456."@uk . . "\u6570\u5B66\u4E0A\uFF0C\u66F2\u9762\u7684\u5355\u503C\u5316\u5B9A\u7406\u662F\u8BF4\u4EFB\u4F55\u66F2\u9762\u4E0A\u90FD\u6709\u4E00\u4E2A\u5E38\u9AD8\u65AF\u66F2\u7387\u7684\u5EA6\u91CF\u3002\u4E8B\u5B9E\u4E0A\uFF0C\u5728\u6BCF\u4E00\u4E2A\u7ED9\u5B9A\u7684\u4E2D\u6211\u4EEC\u90FD\u53EF\u4EE5\u627E\u5230\u4E00\u4E2A\u5E38\u9AD8\u65AF\u66F2\u7387\u7684\u5EA6\u91CF\u3002\u7B49\u4EF7\u7684\u8AAA\uFF0C\u7528\u590D\u5206\u6790\u7684\u8BED\u8A00\uFF0C\u4EFB\u4F55\u5355\u8FDE\u901A\u7684\u9ECE\u66FC\u66F2\u9762\u90FD\u5171\u5F62\u7B49\u4EF7\u65BC\u590D\u5E73\u9762\u3001\u5355\u4F4D\u5706\u76D8\u548C\u9ECE\u66FC\u7403\u9762\u4E09\u8005\u4E4B\u4E00\u3002"@zh . . "29357"^^ . "In de riemann-meetkunde, een deelgebied van de wiskunde, zegt de uniformeringsstelling dat elk enkelvoudig samenhangende riemann-oppervlak hoekgetrouw equivalent is aan een van de drie domeinen: de open eenheidsschijf, het complexe vlak of de riemann-sfeer. In het bijzonder staat het een riemann-metriek met constante kromming toe. Dit classificeert riemann-oppervlakken als elliptisch (positief gekromd - of beter een constante positieve metriek toelatend), parabolisch (vlak) of hyperbolisch (negatief gekromd) op basis van hun universele overdekking. De uniformeringsstelling is een veralgemening van de afbeeldingstelling van Riemann voor enkelvoudig samenhangende open deelverzamelingen van het vlak naar willekeurige enkelvoudig samenhangende riemann-oppervlakken. De uniformeringsstelling impliceert een soortgelijk resultaat voor willekeurig samenhangende tweedst-aftelbare oppervlakken: men kan zij uitrusten met een riemann-metriek met constante kromming."@nl . "1907"^^ . . . . . . . . . . "In de riemann-meetkunde, een deelgebied van de wiskunde, zegt de uniformeringsstelling dat elk enkelvoudig samenhangende riemann-oppervlak hoekgetrouw equivalent is aan een van de drie domeinen: de open eenheidsschijf, het complexe vlak of de riemann-sfeer. In het bijzonder staat het een riemann-metriek met constante kromming toe. Dit classificeert riemann-oppervlakken als elliptisch (positief gekromd - of beter een constante positieve metriek toelatend), parabolisch (vlak) of hyperbolisch (negatief gekromd) op basis van hun universele overdekking."@nl . . . . . . . "Koebe"@en . . "Uniformization"@en . . . . . . . . . "\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u043F\u0440\u043E \u0443\u043D\u0456\u0444\u043E\u0440\u043C\u0456\u0437\u0430\u0446\u0456\u044E \u2014 \u0443\u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0435\u043D\u043D\u044F \u0442\u0435\u043E\u0440\u0435\u043C\u0438 \u0420\u0456\u043C\u0430\u043D\u0430 \u043F\u0440\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043D\u0430 \u0434\u0432\u043E\u0432\u0438\u043C\u0456\u0440\u043D\u0456 \u0440\u0456\u043C\u0430\u043D\u043E\u0432\u0456 \u043C\u043D\u043E\u0433\u043E\u0432\u0438\u0434\u0438. \u041C\u043E\u0436\u043D\u0430 \u0441\u043A\u0430\u0437\u0430\u0442\u0438, \u0449\u043E \u0442\u0435\u043E\u0440\u0435\u043C\u0430 \u0434\u0430\u0454 \u043D\u0430\u0439\u043A\u0440\u0430\u0449\u0443 \u043C\u0435\u0442\u0440\u0438\u043A\u0443 \u0432 \u0434\u0430\u043D\u043E\u043C\u0443 \u043A\u043E\u043D\u0444\u043E\u0440\u043C\u043D\u043E\u043C\u0443 \u043A\u043B\u0430\u0441\u0456."@uk . . . . . . . . "\uADE0\uC77C\uD654 \uC815\uB9AC"@ko . "\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u043E\u0431 \u0443\u043D\u0438\u0444\u043E\u0440\u043C\u0438\u0437\u0430\u0446\u0438\u0438"@ru . . . "\u6570\u5B66\u4E0A\uFF0C\u66F2\u9762\u7684\u5355\u503C\u5316\u5B9A\u7406\u662F\u8BF4\u4EFB\u4F55\u66F2\u9762\u4E0A\u90FD\u6709\u4E00\u4E2A\u5E38\u9AD8\u65AF\u66F2\u7387\u7684\u5EA6\u91CF\u3002\u4E8B\u5B9E\u4E0A\uFF0C\u5728\u6BCF\u4E00\u4E2A\u7ED9\u5B9A\u7684\u4E2D\u6211\u4EEC\u90FD\u53EF\u4EE5\u627E\u5230\u4E00\u4E2A\u5E38\u9AD8\u65AF\u66F2\u7387\u7684\u5EA6\u91CF\u3002\u7B49\u4EF7\u7684\u8AAA\uFF0C\u7528\u590D\u5206\u6790\u7684\u8BED\u8A00\uFF0C\u4EFB\u4F55\u5355\u8FDE\u901A\u7684\u9ECE\u66FC\u66F2\u9762\u90FD\u5171\u5F62\u7B49\u4EF7\u65BC\u590D\u5E73\u9762\u3001\u5355\u4F4D\u5706\u76D8\u548C\u9ECE\u66FC\u7403\u9762\u4E09\u8005\u4E4B\u4E00\u3002"@zh . . . . . . "\u4E00\u610F\u5316\u5B9A\u7406"@ja . . . "\u4E00\u610F\u5316\u5B9A\u7406(uniformization theorem)\u3068\u306F\u3001\u3059\u3079\u3066\u306E\u5358\u9023\u7D50\u30EA\u30FC\u30DE\u30F3\u9762\u306F\u3001\u958B\u5186\u677F\u3001\u8907\u7D20\u5E73\u9762\u3001\u30EA\u30FC\u30DE\u30F3\u7403\u9762\u306E 3\u3064\u306E\u3046\u3061\u306E\u3072\u3068\u3064\u306B\u5171\u5F62\u540C\u5024\u3067\u3042\u308B\u3068\u3044\u3046\u5B9A\u7406\u3067\u3042\u308B\u3002\u7279\u306B\u3001\u5358\u9023\u7D50\u30EA\u30FC\u30DE\u30F3\u9762\u306F(constant curvature)\u306E\u30EA\u30FC\u30DE\u30F3\u8A08\u91CF\u3092\u6301\u3064\u3002\u3053\u306E\u5B9A\u7406\u306F\u666E\u904D\u88AB\u8986\u30EA\u30FC\u30DE\u30F3\u9762\u3092\u6955\u5186\u578B\uFF08\u6B63\u306E\u66F2\u7387\u3001\u6B63\u306E\u66F2\u304C\u3063\u305F\u66F2\u7387\u3092\u3082\u3064\uFF09\u3001\u653E\u7269\u578B\uFF08\u5E73\u5766\uFF09\u3001\u53CC\u66F2\u578B(\u8CA0\u66F2\u7387\uFF09\u3068\u3057\u3066\u5206\u985E\u3059\u308B\u3002 \u4E00\u610F\u5316\u5B9A\u7406\u306F\u30EA\u30FC\u30DE\u30F3\u306E\u5199\u50CF\u5B9A\u7406\u306E\u5E73\u9762\u306E\u56FA\u6709\u306A\u5358\u9023\u7D50\u958B\u90E8\u5206\u96C6\u5408\u304B\u3089\u3001\u4EFB\u610F\u306E\u5358\u9023\u7D50\u306F\u30EA\u30FC\u30DE\u30F3\u9762\u3078\u306E\u4E00\u822C\u5316\u3067\u3042\u308B\u3002 \u4E00\u610F\u5316\u5B9A\u7406\u306F\u3001\u4EFB\u610F\u306E\u9023\u7D50\u3067\u3042\u308B\u7B2C\u4E8C\u53EF\u7B97\u306E\u9762\u306E\u540C\u69D8\u306A\u7D50\u679C\u3001\u5B9A\u6570\u66F2\u7387\u306E\u30EA\u30FC\u30DE\u30F3\u8A08\u91CF\u3092\u4E0E\u3048\u308B\u3053\u3068\u304C\u3067\u304D\u308B\u3053\u3068\u3092\u610F\u5473\u3057\u3066\u3044\u308B\u3002"@ja . . . . . . . . . "\u4E00\u610F\u5316\u5B9A\u7406(uniformization theorem)\u3068\u306F\u3001\u3059\u3079\u3066\u306E\u5358\u9023\u7D50\u30EA\u30FC\u30DE\u30F3\u9762\u306F\u3001\u958B\u5186\u677F\u3001\u8907\u7D20\u5E73\u9762\u3001\u30EA\u30FC\u30DE\u30F3\u7403\u9762\u306E 3\u3064\u306E\u3046\u3061\u306E\u3072\u3068\u3064\u306B\u5171\u5F62\u540C\u5024\u3067\u3042\u308B\u3068\u3044\u3046\u5B9A\u7406\u3067\u3042\u308B\u3002\u7279\u306B\u3001\u5358\u9023\u7D50\u30EA\u30FC\u30DE\u30F3\u9762\u306F(constant curvature)\u306E\u30EA\u30FC\u30DE\u30F3\u8A08\u91CF\u3092\u6301\u3064\u3002\u3053\u306E\u5B9A\u7406\u306F\u666E\u904D\u88AB\u8986\u30EA\u30FC\u30DE\u30F3\u9762\u3092\u6955\u5186\u578B\uFF08\u6B63\u306E\u66F2\u7387\u3001\u6B63\u306E\u66F2\u304C\u3063\u305F\u66F2\u7387\u3092\u3082\u3064\uFF09\u3001\u653E\u7269\u578B\uFF08\u5E73\u5766\uFF09\u3001\u53CC\u66F2\u578B(\u8CA0\u66F2\u7387\uFF09\u3068\u3057\u3066\u5206\u985E\u3059\u308B\u3002 \u4E00\u610F\u5316\u5B9A\u7406\u306F\u30EA\u30FC\u30DE\u30F3\u306E\u5199\u50CF\u5B9A\u7406\u306E\u5E73\u9762\u306E\u56FA\u6709\u306A\u5358\u9023\u7D50\u958B\u90E8\u5206\u96C6\u5408\u304B\u3089\u3001\u4EFB\u610F\u306E\u5358\u9023\u7D50\u306F\u30EA\u30FC\u30DE\u30F3\u9762\u3078\u306E\u4E00\u822C\u5316\u3067\u3042\u308B\u3002 \u4E00\u610F\u5316\u5B9A\u7406\u306F\u3001\u4EFB\u610F\u306E\u9023\u7D50\u3067\u3042\u308B\u7B2C\u4E8C\u53EF\u7B97\u306E\u9762\u306E\u540C\u69D8\u306A\u7D50\u679C\u3001\u5B9A\u6570\u66F2\u7387\u306E\u30EA\u30FC\u30DE\u30F3\u8A08\u91CF\u3092\u4E0E\u3048\u308B\u3053\u3068\u304C\u3067\u304D\u308B\u3053\u3068\u3092\u610F\u5473\u3057\u3066\u3044\u308B\u3002"@ja . . . . . . . "N.A."@en . . . . . "Paul Koebe"@en . . . "\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u0443\u043D\u0456\u0444\u043E\u0440\u043C\u0456\u0437\u0430\u0446\u0456\u0457"@uk . . . . . . . . . . . . . . "\uBCF5\uC18C\uD574\uC11D\uD559\uC5D0\uC11C \uADE0\uC77C\uD654 \uC815\uB9AC(\u5747\u4E00\u5316\u5B9A\u7406, uniformization theorem)\uB294 \uB2E8\uC77C \uC5F0\uACB0 \uB9AC\uB9CC \uACE1\uBA74\uC774 \uC5F4\uB9B0 \uB2E8\uC704 \uC6D0\uD310\uC774\uB098 \uBCF5\uC18C\uD3C9\uBA74, \uB9AC\uB9CC \uAD6C \uAC00\uC6B4\uB370 \uD558\uB098\uB85C \uC804\uB2E8\uC0AC \uB4F1\uAC01 \uC0AC\uC0C1\uC774 \uC874\uC7AC\uD55C\uB2E4\uB294 \uC815\uB9AC\uB2E4."@ko . "Uniformization theorem"@en . . "288270"^^ . . . . . . "Th\u00E9or\u00E8me d'uniformisation de Riemann"@fr . "U/u095290"@en . . . . . . . . . . "In mathematics, the uniformization theorem says that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces: the open unit disk, the complex plane, or the Riemann sphere. The theorem is a generalization of the Riemann mapping theorem from simply connected open subsets of the plane to arbitrary simply connected Riemann surfaces. Since every Riemann surface has a universal cover which is a simply connected Riemann surface, the uniformization theorem leads to a classification of Riemann surfaces into three types: those that have the Riemann sphere as universal cover (\"elliptic\"), those with the plane as universal cover (\"parabolic\") and those with the unit disk as universal cover (\"hyperbolic\"). It further follows that every Riemann surface admits a Riemannian metric of constant curvature, where the curvature can be taken to be 1 in the elliptic, 0 in the parabolic and -1 in the hyperbolic case. The uniformization theorem also yields a similar classification of closed orientable Riemannian 2-manifolds into elliptic/parabolic/hyperbolic cases. Each such manifold has a conformally equivalent Riemannian metric with constant curvature, where the curvature can be taken to be 1 in the elliptic, 0 in the parabolic and -1 in the hyperbolic case."@en . . . . . . . . . . "Uniformeringsstelling"@nl . . . . . . "Paul"@en . . "Teorema di uniformizzazione di Riemann"@it . "\uBCF5\uC18C\uD574\uC11D\uD559\uC5D0\uC11C \uADE0\uC77C\uD654 \uC815\uB9AC(\u5747\u4E00\u5316\u5B9A\u7406, uniformization theorem)\uB294 \uB2E8\uC77C \uC5F0\uACB0 \uB9AC\uB9CC \uACE1\uBA74\uC774 \uC5F4\uB9B0 \uB2E8\uC704 \uC6D0\uD310\uC774\uB098 \uBCF5\uC18C\uD3C9\uBA74, \uB9AC\uB9CC \uAD6C \uAC00\uC6B4\uB370 \uD558\uB098\uB85C \uC804\uB2E8\uC0AC \uB4F1\uAC01 \uC0AC\uC0C1\uC774 \uC874\uC7AC\uD55C\uB2E4\uB294 \uC815\uB9AC\uB2E4."@ko . "Il teorema di uniformizzazione di Riemann \u00E8 un importante teorema di analisi complessa, dimostrato dal matematico Bernhard Riemann. Il teorema descrive un forte collegamento fra l'analisi complessa e la geometria differenziale per le superfici."@it . . . . . . "Gusevskii"@en . . . . . "\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u043E\u0431 \u0443\u043D\u0438\u0444\u043E\u0440\u043C\u0438\u0437\u0430\u0446\u0438\u0438 \u2014 \u043E\u0431\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u0442\u0435\u043E\u0440\u0435\u043C\u044B \u0420\u0438\u043C\u0430\u043D\u0430 \u043E\u0431 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0438 \u043D\u0430 \u0434\u0432\u0443\u043C\u0435\u0440\u043D\u044B\u0435 \u0440\u0438\u043C\u0430\u043D\u043E\u0432\u044B \u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u044F. \u041C\u043E\u0436\u043D\u043E \u0441\u043A\u0430\u0437\u0430\u0442\u044C, \u0447\u0442\u043E \u0442\u0435\u043E\u0440\u0435\u043C\u0430 \u0434\u0430\u0451\u0442 \u043D\u0430\u0438\u043B\u0443\u0447\u0448\u0443\u044E \u043C\u0435\u0442\u0440\u0438\u043A\u0443 \u0432 \u0434\u0430\u043D\u043D\u043E\u043C \u043A\u043E\u043D\u0444\u043E\u0440\u043C\u043D\u043E\u043C \u043A\u043B\u0430\u0441\u0441\u0435."@ru . "En math\u00E9matiques, le th\u00E9or\u00E8me d'uniformisation de Riemann est un r\u00E9sultat de base dans la th\u00E9orie des surfaces de Riemann, c'est-\u00E0-dire des vari\u00E9t\u00E9s complexes de dimension 1. Il assure que toute surface de Riemann simplement connexe peut \u00EAtre mise en correspondance biholomorphe avec l'une des trois surfaces suivantes : le plan complexe C, le disque unit\u00E9 de ce plan, ou la sph\u00E8re de Riemann, c'est-\u00E0-dire la droite projective complexe P1(C)."@fr . . .