|
gptkbp:instanceOf
|
gptkb:topology
gptkb:Riemannian_manifold
gptkb:Lie_group
|
|
gptkbp:appearsIn
|
gptkb:topology
gptkb:string_theory
complex analysis
differential geometry
|
|
gptkbp:canBeEmbeddedIn
|
R^3
|
|
gptkbp:compact
|
true
|
|
gptkbp:connects
|
true
|
|
gptkbp:dimensions
|
2
|
|
gptkbp:Euler_characteristic
|
0
|
|
gptkbp:fundamentalGroup
|
Z x Z
|
|
gptkbp:genus
|
1
|
|
gptkbp:has_flat_metric
|
true
|
|
gptkbp:heldBy
|
gptkb:algebraic_geometry
gptkb:topology
gptkb:Riemannian_manifold
gptkb:Lie_group
gptkb:spin_manifold
Kähler manifold
symplectic manifold
principal bundle
homogeneous space
parallelizable manifold
group variety
commutative Lie group
fiber bundle over S^1
group object in the category of Lie groups
group object in the category of complex manifolds
group object in the category of manifolds
group object in the category of topological spaces
group object in the category of algebraic varieties
|
|
gptkbp:homology_group_H_1
|
Z x Z
|
|
gptkbp:homology_group_H_2
|
Z
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
2-torus T^2
|
|
gptkbp:is_a_group_under
|
addition
|
|
gptkbp:orientable
|
true
|
|
gptkbp:quotient_of
|
R^2 by Z^2
|
|
gptkbp:represents
|
S^1 x S^1
|
|
gptkbp:universalCover
|
R^2
|
|
gptkbp:bfsParent
|
gptkb:torus_group
|
|
gptkbp:bfsLayer
|
5
|