|
gptkbp:instanceOf
|
gptkb:mathematical_concept
gptkb:one-dimensional_complex_projective_space
gptkb:Kähler_manifold
|
|
gptkbp:alsoKnownAs
|
extended complex plane
|
|
gptkbp:automorphismGroup
|
gptkb:Möbius_transformations
|
|
gptkbp:category
|
gptkb:surface
gptkb:Riemannian_manifold
gptkb:projective_variety
|
|
gptkbp:compact
|
true
|
|
gptkbp:compactificationOf
|
gptkb:complex_plane
|
|
gptkbp:contains
|
complex numbers
point at infinity
|
|
gptkbp:dimensions
|
1
|
|
gptkbp:fieldOfStudy
|
gptkb:algebraic_geometry
gptkb:geometry
gptkb:mathematics
gptkb:topology
complex analysis
|
|
gptkbp:genus
|
0
|
|
gptkbp:hasChart
|
gptkb:stereographic_projection
|
|
gptkbp:hasModel
|
projective line over complex numbers
|
|
gptkbp:hasPoint
|
one
zero
infinity
arbitrary complex number
|
|
gptkbp:isomorphicTo
|
gptkb:2-sphere_(S^2)
gptkb:CP^1
complex projective line
|
|
gptkbp:namedAfter
|
gptkb:Bernhard_Riemann
|
|
gptkbp:relatedTo
|
gptkb:Möbius_group
gptkb:stereographic_projection
conformal mapping
meromorphic functions
complex projective geometry
extended complex plane
fractional linear transformations
rational functions
|
|
gptkbp:simplyConnected
|
true
|
|
gptkbp:structure
|
complex structure
differentiable structure
projective structure
topological structure
|
|
gptkbp:symbol
|
ℂ̂
|
|
gptkbp:topology
|
homeomorphic to the 2-sphere
|
|
gptkbp:usedIn
|
gptkb:geometry
gptkb:stereographic_projection
complex analysis
|
|
gptkbp:bfsParent
|
gptkb:Riemann_surfaces
gptkb:Möbius_transformation
gptkb:Möbius_transformations
gptkb:Schottky_group
gptkb:SL(2,_C)
gptkb:compact_Riemann_surfaces
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Riemann sphere
|