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- Q377798 subject Q7210663.
- Q377798 subject Q7413888.
- Q377798 subject Q8662691.
- Q377798 subject Q9486173.
- Q377798 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.".
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- Q377798 wikiPageWikiLink Q7210663.
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- Q377798 wikiPageWikiLink Q7413888.
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- Q377798 wikiPageWikiLink Q8662691.
- Q377798 wikiPageWikiLink Q899539.
- Q377798 wikiPageWikiLink Q942046.
- Q377798 wikiPageWikiLink Q9486173.
- Q377798 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.".
- Q377798 label "Poincaré metric".