Fubini–Study metric (in complex case)
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Riemannian_manifold
|
| gptkbp:appearsIn |
gptkb:algebraic_geometry
complex analysis differential geometry |
| gptkbp:curvature |
constant positive holomorphic sectional curvature
|
| gptkbp:definedIn |
complex projective space
|
| gptkbp:dimensions |
depends on complex projective space
|
| gptkbp:expressedIn |
homogeneous coordinates
|
| gptkbp:hasInvariant |
orthogonal group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fubini–Study metric (in complex case)
|
| gptkbp:isCanonicalMetricOn |
complex projective space
|
| gptkbp:isEinsteinMetric |
true
|
| gptkbp:isHermitianMetric |
true
|
| gptkbp:isKählerMetric |
true
|
| gptkbp:isUniqueUpToScaling |
true
|
| gptkbp:namedAfter |
gptkb:Guido_Fubini
Eduardo Study |
| gptkbp:originatedIn |
gptkb:projective_Hilbert_space
|
| gptkbp:relatedTo |
gptkb:Hopf_fibration
|
| gptkbp:usedIn |
quantum mechanics
complex geometry |
| gptkbp:bfsParent |
gptkb:Grassmannian_manifold
|
| gptkbp:bfsLayer |
7
|