Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Thurston geometry
|
| gptkbp:admitsCompactQuotients |
true
|
| gptkbp:admitsSeifertFiberedSpaces |
true
|
| gptkbp:dimensions |
3
|
| gptkbp:exampleOfManifold |
RP^2 × S^1
S^2 × S^1 non-orientable S^2-bundles over S^1 |
| gptkbp:fundamentalGroup |
finite or infinite cyclic
|
| gptkbp:hasCurvature |
non-negative
|
| gptkbp:hasIsometryGroup |
O(3) × R
|
| gptkbp:hasSectionalCurvature |
0 or 1
|
| https://www.w3.org/2000/01/rdf-schema#label |
S^2 × R geometry
|
| gptkbp:includesMetric |
product metric
|
| gptkbp:isHomogeneous |
true
|
| gptkbp:isNotIsotropicIn |
R factor
|
| gptkbp:isOneOf |
eight Thurston geometries
|
| gptkbp:isotropicIn |
S^2 factor
|
| gptkbp:product |
real line
2-sphere |
| gptkbp:universalCover |
S^2 × R
|
| gptkbp:usedIn |
gptkb:geometrization_conjecture
|
| gptkbp:bfsParent |
gptkb:Thurston's_eight_geometries
|
| gptkbp:bfsLayer |
6
|