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- Poincaré_metric abstract "In mathematics, the Poincaré metric, named after Henri Poincaré, is the metric tensor describing a two-dimensional surface of constant negative curvature. It is the natural metric commonly used in a variety of calculations in hyperbolic geometry or Riemann surfaces.There are three equivalent representations commonly used in two-dimensional hyperbolic geometry. One is the Poincaré half-plane model, defining a model of hyperbolic space on the upper half-plane. The Poincaré disk model defines a model for hyperbolic space on the unit disk. The disk and the upper half plane are related by a conformal map, and isometries are given by Möbius transformations. A third representation is on the punctured disk, where relations for q-analogues are sometimes expressed. These various forms are reviewed below.".
- Poincaré_metric wikiPageID "1487868".
- Poincaré_metric wikiPageRevisionID "577481542".
- Poincaré_metric subject Category:Conformal_geometry.
- Poincaré_metric subject Category:Hyperbolic_geometry.
- Poincaré_metric subject Category:Riemann_surfaces.
- Poincaré_metric subject Category:Riemannian_geometry.
- Poincaré_metric comment "In mathematics, the Poincaré metric, named after Henri Poincaré, is the metric tensor describing a two-dimensional surface of constant negative curvature. It is the natural metric commonly used in a variety of calculations in hyperbolic geometry or Riemann surfaces.There are three equivalent representations commonly used in two-dimensional hyperbolic geometry. One is the Poincaré half-plane model, defining a model of hyperbolic space on the upper half-plane.".
- Poincaré_metric label "Métrique de Poincaré".
- Poincaré_metric label "Poincaré metric".
- Poincaré_metric label "Метрика Пуанкаре".
- Poincaré_metric label "ポワンカレ計量".
- Poincaré_metric label "庞加莱度量".
- Poincaré_metric sameAs Poincar%C3%A9_metric.
- Poincaré_metric sameAs Métrique_de_Poincaré.
- Poincaré_metric sameAs ポワンカレ計量.
- Poincaré_metric sameAs Q377798.
- Poincaré_metric sameAs Q377798.
- Poincaré_metric wasDerivedFrom Poincaré_metric?oldid=577481542.