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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:symplectic_manifold
gptkb:homogeneous_space
gptkb:Riemannian_manifold
gptkb:parallelizable_manifold
gptkb:Lie_group
gptkb:Kähler_manifold
gptkb:spin_manifold
gptkb:group_variety
gptkb:commutative_Lie_group
gptkb:principal_bundle
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
|
|
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
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
2-torus T^2
|