Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Fuchsian_group> ?p ?o. }
Showing items 1 to 38 of
38
with 100 items per page.
- Fuchsian_group abstract "In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R). The group PSL(2,R) can be regarded as a group of isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations of the upper half plane, so a Fuchsian group can be regarded as a group acting on any of these spaces. There are some variations of the definition: sometimes the Fuchsian group is assumed to be finitely generated, sometimes it is allowed to be a subgroup of PGL(2,R) = PSL(2,R).2 (so that it contains orientation-reversing elements) and sometimes it is allowed to be a Kleinian group (a discrete group of PSL(2,C)) that is conjugate to a subgroup of PSL(2,R).Fuchsian groups are used to create Fuchsian models of Riemann surfaces. In this case, the group may be called the Fuchsian group of the surface. In some sense, Fuchsian groups do for non-Euclidean geometry what crystallographic groups do for Euclidean geometry. Some Escher graphics are based on them (for the disc model of hyperbolic geometry).General Fuchsian groups were first studied by Poincaré (1882), who was motivated by the paper (Fuchs 1880) and therefore named them after Lazarus Fuchs.".
- Fuchsian_group wikiPageExternalLink purl?PPN243919689_0089.
- Fuchsian_group wikiPageID "471365".
- Fuchsian_group wikiPageRevisionID "579368011".
- Fuchsian_group first "E. B.".
- Fuchsian_group hasPhotoCollection Fuchsian_group.
- Fuchsian_group id "F/f041890".
- Fuchsian_group last "Vinberg".
- Fuchsian_group subject Category:Discrete_groups.
- Fuchsian_group subject Category:Fractals.
- Fuchsian_group subject Category:Hyperbolic_geometry.
- Fuchsian_group subject Category:Kleinian_groups.
- Fuchsian_group subject Category:Riemann_surfaces.
- Fuchsian_group type Abstraction100002137.
- Fuchsian_group type Cognition100023271.
- Fuchsian_group type DiscreteGroups.
- Fuchsian_group type Form105930736.
- Fuchsian_group type Fractal105931152.
- Fuchsian_group type Fractals.
- Fuchsian_group type Group100031264.
- Fuchsian_group type KleinianGroups.
- Fuchsian_group type PsychologicalFeature100023100.
- Fuchsian_group type Structure105726345.
- Fuchsian_group comment "In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R). The group PSL(2,R) can be regarded as a group of isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations of the upper half plane, so a Fuchsian group can be regarded as a group acting on any of these spaces.".
- Fuchsian_group label "Fuchs-groep".
- Fuchsian_group label "Fuchsian group".
- Fuchsian_group label "Fuchssche Gruppe".
- Fuchsian_group label "Grupo fuchsiano".
- Fuchsian_group sameAs Fuchssche_Gruppe.
- Fuchsian_group sameAs 푹스_군.
- Fuchsian_group sameAs Fuchs-groep.
- Fuchsian_group sameAs Grupo_fuchsiano.
- Fuchsian_group sameAs m.02dj59.
- Fuchsian_group sameAs Q205124.
- Fuchsian_group sameAs Q205124.
- Fuchsian_group sameAs Fuchsian_group.
- Fuchsian_group wasDerivedFrom Fuchsian_group?oldid=579368011.
- Fuchsian_group isPrimaryTopicOf Fuchsian_group.