quaternionic projective plane
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Riemannian_manifold
projective plane symmetric space |
| gptkbp:cohomologyRing |
Z[x]/(x^3), deg(x)=4
|
| gptkbp:compact |
true
|
| gptkbp:definedIn |
quaternions
|
| gptkbp:dimensions |
8
|
| gptkbp:Euler_characteristic |
3
|
| gptkbp:firstChernClass |
0
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:hasCellDecomposition |
0, 4, 8-cells
|
| gptkbp:homogeneousSpaceOf |
gptkb:F4
gptkb:Sp(1) gptkb:Sp(3) |
| https://www.w3.org/2000/01/rdf-schema#label |
quaternionic projective plane
|
| gptkbp:introduced |
gptkb:Heinz_Hopf
|
| gptkbp:relatedTo |
gptkb:complex_projective_plane
gptkb:real_projective_plane Grassmannian |
| gptkbp:simplyConnected |
true
|
| gptkbp:symbol |
HP^2
|
| gptkbp:topologicalType |
8-dimensional manifold
|
| gptkbp:bfsParent |
gptkb:octonionic_projective_plane
|
| gptkbp:bfsLayer |
6
|