Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Riemannian_manifold gptkb:2-dimensional_torus surface Compact manifold |
| gptkbp:canBe |
Identifying opposite edges of a square
|
| gptkbp:canBeEmbeddedIn |
Four-dimensional Euclidean space
|
| gptkbp:cannotBeEmbeddedIn |
Three-dimensional Euclidean space without distortion
|
| gptkbp:dimensions |
2
|
| gptkbp:fundamentalGroup |
Z x Z
|
| gptkbp:hasProperty |
Zero Gaussian curvature
|
| https://www.w3.org/2000/01/rdf-schema#label |
Flat torus
|
| gptkbp:includesMetric |
Flat metric
|
| gptkbp:isLocallyIsometricTo |
Euclidean plane
|
| gptkbp:isNotIsometricTo |
Standard torus in 3D space
|
| gptkbp:isomorphicTo |
Standard torus
|
| gptkbp:isQuotientOf |
Euclidean plane by lattice
|
| gptkbp:relatedTo |
Lattice in the plane
|
| gptkbp:usedIn |
gptkb:Topology
gptkb:Differential_geometry Dynamical systems |
| gptkbp:bfsParent |
gptkb:Torus
|
| gptkbp:bfsLayer |
6
|