Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:geometry
gptkb:mathematical_concept |
| gptkbp:alsoKnownAs |
5-sphere
|
| gptkbp:definedIn |
set of points in R^6 at unit distance from origin
|
| gptkbp:dimensions |
5
|
| gptkbp:embedded_in |
gptkb:6-dimensional_Euclidean_space
|
| gptkbp:Euler_characteristic |
0
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:heldBy |
gptkb:hypersphere
generalization of sphere |
| gptkbp:homology_group |
same as 5-dimensional manifold
|
| https://www.w3.org/2000/01/rdf-schema#label |
5-dimensional sphere
|
| gptkbp:surface_area_formula |
π^3
|
| gptkbp:surface_of |
6-dimensional ball
|
| gptkbp:symbol |
S^5
|
| gptkbp:topological_property |
compact
simply connected |
| gptkbp:used_in |
gptkb:theoretical_physics
gptkb:topology differential geometry |
| gptkbp:volume_formula |
π^3/6
|
| gptkbp:bfsParent |
gptkb:AdS5/CFT4
|
| gptkbp:bfsLayer |
6
|