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- Stiefel_manifold abstract "In mathematics, the Stiefel manifold Vk(Rn) is the set of all orthonormal k-frames in Rn. That is, it is the set of ordered k-tuples of orthonormal vectors in Rn. It is named after Swiss mathematician Eduard Stiefel. Likewise one can define the complex Stiefel manifold Vk(Cn) of orthonormal k-frames in Cn and the quaternionic Stiefel manifold Vk(Hn) of orthonormal k-frames in Hn. More generally, the construction applies to any real, complex, or quaternionic inner product space.In some contexts, a non-compact Stiefel manifold is defined as the set of all linearly independent k-frames in Rn, Cn, or Hn; this is homotopy equivalent, as the compact Stiefel manifold is a deformation retract of the non-compact one, by Gram–Schmidt. Statements about the non-compact form correspond to those for the compact form, replacing the orthogonal group (or unitary or symplectic group) with the general linear group.".
- Stiefel_manifold wikiPageExternalLink books?id=9ss7AAAAIAAJ.
- Stiefel_manifold wikiPageExternalLink Stiefel_manifold.
- Stiefel_manifold wikiPageExternalLink ATpage.html.
- Stiefel_manifold wikiPageID "1392495".
- Stiefel_manifold wikiPageRevisionID "602679333".
- Stiefel_manifold hasPhotoCollection Stiefel_manifold.
- Stiefel_manifold subject Category:Differential_geometry.
- Stiefel_manifold subject Category:Fiber_bundles.
- Stiefel_manifold subject Category:Homogeneous_spaces.
- Stiefel_manifold subject Category:Manifolds.
- Stiefel_manifold type Artifact100021939.
- Stiefel_manifold type Conduit103089014.
- Stiefel_manifold type Manifold103717750.
- Stiefel_manifold type Manifolds.
- Stiefel_manifold type Object100002684.
- Stiefel_manifold type Passage103895293.
- Stiefel_manifold type PhysicalEntity100001930.
- Stiefel_manifold type Pipe103944672.
- Stiefel_manifold type Tube104493505.
- Stiefel_manifold type Way104564698.
- Stiefel_manifold type Whole100003553.
- Stiefel_manifold type YagoGeoEntity.
- Stiefel_manifold type YagoPermanentlyLocatedEntity.
- Stiefel_manifold comment "In mathematics, the Stiefel manifold Vk(Rn) is the set of all orthonormal k-frames in Rn. That is, it is the set of ordered k-tuples of orthonormal vectors in Rn. It is named after Swiss mathematician Eduard Stiefel. Likewise one can define the complex Stiefel manifold Vk(Cn) of orthonormal k-frames in Cn and the quaternionic Stiefel manifold Vk(Hn) of orthonormal k-frames in Hn.".
- Stiefel_manifold label "Stiefel manifold".
- Stiefel_manifold label "Stiefel-Mannigfaltigkeit".
- Stiefel_manifold sameAs Stiefel-Mannigfaltigkeit.
- Stiefel_manifold sameAs m.04yz8f.
- Stiefel_manifold sameAs Q7616373.
- Stiefel_manifold sameAs Q7616373.
- Stiefel_manifold sameAs Stiefel_manifold.
- Stiefel_manifold wasDerivedFrom Stiefel_manifold?oldid=602679333.
- Stiefel_manifold isPrimaryTopicOf Stiefel_manifold.