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Statements

Subject Item
dbr:Fuchsian_model
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Фуксова модель Fuchsian model
rdfs:comment
In mathematics, a Fuchsian model is a representation of a hyperbolic Riemann surface R as a quotient of the upper half-plane H by a Fuchsian group. Every hyperbolic Riemann surface admits such a representation. The concept is named after Lazarus Fuchs. Фуксова модель — это представление гиперболической римановой поверхности R как факторповерхности верхней полуплоскости H по фуксовой группе. Любая гиперболическая риманова поверхность позволяет такое представление. Концепция названа именем Лазаря Фукса.
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dbc:Hyperbolic_geometry dbc:Riemann_surfaces
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dbr:Elliptic_geometry dbr:Fuchsian_group dbr:Poincaré_half-plane_model dbr:Lazarus_Fuchs dbr:Homeomorphism dbr:Parabolic_geometry_(differential_geometry) dbr:Kleinian_model dbr:Biholomorphic_transformation dbr:Fundamental_polygon dbr:Uniformization_theorem dbr:Hyperbolic_geometry dbr:Homography dbr:3-manifolds dbr:Upper_half-plane dbr:Hyperbolic_plane dbr:Properly_discontinuous_action dbr:Quasiconformal_map dbr:Discrete_subset dbr:Free_action dbr:Mathematics dbr:Torsion-free_group dbc:Riemann_surfaces dbr:Dehn–Nielsen_theorem dbr:Teichmüller_space dbc:Hyperbolic_geometry dbr:Riemann_surface dbr:Finitely_generated_group
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1.5
dbp:text
For any there exists a self-homeomorphism of the upper half-plane such that for all .
dbo:abstract
In mathematics, a Fuchsian model is a representation of a hyperbolic Riemann surface R as a quotient of the upper half-plane H by a Fuchsian group. Every hyperbolic Riemann surface admits such a representation. The concept is named after Lazarus Fuchs. Фуксова модель — это представление гиперболической римановой поверхности R как факторповерхности верхней полуплоскости H по фуксовой группе. Любая гиперболическая риманова поверхность позволяет такое представление. Концепция названа именем Лазаря Фукса.
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4171
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wikipedia-en:Fuchsian_model