complex Stiefel manifold

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:Riemannian_manifold
homogeneous space
gptkbp:definedIn the set of orthonormal k-frames in n-dimensional complex space
gptkbp:dimensions 2nk - k^2
gptkbp:group_action unitary group U(n) acts transitively
https://www.w3.org/2000/01/rdf-schema#label complex Stiefel manifold
gptkbp:isQuotientOf U(n)/U(n-k)
gptkbp:namedAfter gptkb:Eduard_Stiefel
gptkbp:notation V_k(C^n)
gptkbp:relatedTo gptkb:Stiefel_manifold
Grassmannian
gptkbp:used_in gptkb:topology
differential geometry
representation theory
gptkbp:bfsParent gptkb:Stiefel_manifold
gptkbp:bfsLayer 6