quaternionic projective space
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
HP^n
|
| gptkbp:category |
gptkb:topology
gptkb:Riemannian_manifold |
| gptkbp:cohomologyRing |
Z[x]/(x^{n+1})
|
| gptkbp:compact |
true
|
| gptkbp:component |
quaternionic line
|
| gptkbp:connects |
true
|
| gptkbp:definedIn |
quaternions
|
| gptkbp:dimensions |
4n
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:generalizes |
complex projective space
real projective space |
| gptkbp:homogeneousSpaceOf |
orthogonal group
|
| gptkbp:homotopyType |
CW complex
|
| https://www.w3.org/2000/01/rdf-schema#label |
quaternionic projective space
|
| gptkbp:manifold |
true
|
| gptkbp:notation |
HP^n
|
| gptkbp:relatedTo |
gptkb:geometry
gptkb:Hopf_fibration Grassmannian |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology differential geometry |
| gptkbp:bfsParent |
gptkb:quaternion-Kähler_manifolds
|
| gptkbp:bfsLayer |
7
|