Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Riemannian_manifold homogeneous space |
| gptkbp:compact |
true
|
| gptkbp:connects |
true
|
| gptkbp:definedIn |
the set of all orthonormal k-frames in R^n
|
| gptkbp:dimensions |
nk - k(k+1)/2
|
| gptkbp:fiberBundleOver |
Grassmannian
|
| gptkbp:generalizes |
orthogonal group
|
| https://www.w3.org/2000/01/rdf-schema#label |
real Stiefel manifold
|
| gptkbp:includesMetric |
canonical metric
|
| gptkbp:isQuotientOf |
O(n)/O(n-k)
|
| gptkbp:notation |
V_k(R^n)
|
| gptkbp:parameter |
n
k |
| gptkbp:relatedTo |
Grassmannian
orthogonal group |
| gptkbp:usedIn |
gptkb:machine_learning
gptkb:topology differential geometry statistics |
| gptkbp:bfsParent |
gptkb:Stiefel_manifold
|
| gptkbp:bfsLayer |
6
|