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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 ATpage.html.
- Stiefel_manifold wikiPageExternalLink books?id=9ss7AAAAIAAJ.
- Stiefel_manifold wikiPageExternalLink Stiefel_manifold.
- Stiefel_manifold wikiPageID "1392495".
- Stiefel_manifold wikiPageLength "11786".
- Stiefel_manifold wikiPageOutDegree "66".
- Stiefel_manifold wikiPageRevisionID "684507478".
- Stiefel_manifold wikiPageWikiLink Arc_length.
- Stiefel_manifold wikiPageWikiLink Associated_bundle.
- Stiefel_manifold wikiPageWikiLink Borel_measure.
- Stiefel_manifold wikiPageWikiLink Category:Differential_geometry.
- Stiefel_manifold wikiPageWikiLink Category:Fiber_bundles.
- Stiefel_manifold wikiPageWikiLink Category:Homogeneous_spaces.
- Stiefel_manifold wikiPageWikiLink Category:Manifolds.
- Stiefel_manifold wikiPageWikiLink Classical_group.
- Stiefel_manifold wikiPageWikiLink Compact_space.
- Stiefel_manifold wikiPageWikiLink Complex_number.
- Stiefel_manifold wikiPageWikiLink Conjugate_transpose.
- Stiefel_manifold wikiPageWikiLink Diffeomorphism.
- Stiefel_manifold wikiPageWikiLink Dual_basis.
- Stiefel_manifold wikiPageWikiLink Eduard_Stiefel.
- Stiefel_manifold wikiPageWikiLink Fiber_(mathematics).
- Stiefel_manifold wikiPageWikiLink Fibration.
- Stiefel_manifold wikiPageWikiLink Frame_bundle.
- Stiefel_manifold wikiPageWikiLink Functor.
- Stiefel_manifold wikiPageWikiLink General_linear_group.
- Stiefel_manifold wikiPageWikiLink Generalized_flag_variety.
- Stiefel_manifold wikiPageWikiLink Gram–Schmidt_process.
- Stiefel_manifold wikiPageWikiLink Grassmannian.
- Stiefel_manifold wikiPageWikiLink Group_action.
- Stiefel_manifold wikiPageWikiLink Homogeneous_space.
- Stiefel_manifold wikiPageWikiLink Homotopy_group.
- Stiefel_manifold wikiPageWikiLink Identity_matrix.
- Stiefel_manifold wikiPageWikiLink Independence_(probability_theory).
- Stiefel_manifold wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- Stiefel_manifold wikiPageWikiLink Inner_product_space.
- Stiefel_manifold wikiPageWikiLink Invariant_measure.
- Stiefel_manifold wikiPageWikiLink K-frame.
- Stiefel_manifold wikiPageWikiLink Linear_independence.
- Stiefel_manifold wikiPageWikiLink Linear_subspace.
- Stiefel_manifold wikiPageWikiLink Manifold.
- Stiefel_manifold wikiPageWikiLink Mathematics.
- Stiefel_manifold wikiPageWikiLink Matrix_(mathematics).
- Stiefel_manifold wikiPageWikiLink Normal_distribution.
- Stiefel_manifold wikiPageWikiLink Orthogonal_complement.
- Stiefel_manifold wikiPageWikiLink Orthogonal_group.
- Stiefel_manifold wikiPageWikiLink Orthonormality.
- Stiefel_manifold wikiPageWikiLink Principal_bundle.
- Stiefel_manifold wikiPageWikiLink Principal_homogeneous_space.
- Stiefel_manifold wikiPageWikiLink QR_decomposition.
- Stiefel_manifold wikiPageWikiLink Quaternion.
- Stiefel_manifold wikiPageWikiLink Random_matrix.
- Stiefel_manifold wikiPageWikiLink Retract.
- Stiefel_manifold wikiPageWikiLink Row_and_column_vectors.
- Stiefel_manifold wikiPageWikiLink Special_unitary_group.
- Stiefel_manifold wikiPageWikiLink Stiefel–Whitney_class.
- Stiefel_manifold wikiPageWikiLink Subspace_topology.
- Stiefel_manifold wikiPageWikiLink Symplectic_group.
- Stiefel_manifold wikiPageWikiLink Tangent_vector.
- Stiefel_manifold wikiPageWikiLink Tautological_bundle.
- Stiefel_manifold wikiPageWikiLink Topological_space.
- Stiefel_manifold wikiPageWikiLink Uniform_distribution_(continuous).
- Stiefel_manifold wikiPageWikiLink Unit_sphere.
- Stiefel_manifold wikiPageWikiLink Unit_tangent_bundle.
- Stiefel_manifold wikiPageWikiLink Unitary_group.
- Stiefel_manifold wikiPageWikiLink Universal_bundle.
- Stiefel_manifold wikiPageWikiLink Vector_bundle.
- Stiefel_manifold wikiPageWikiLink Vector_space.
- Stiefel_manifold wikiPageWikiLinkText "Stiefel manifold".
- Stiefel_manifold wikiPageUsesTemplate Template:Cite_book.
- Stiefel_manifold wikiPageUsesTemplate Template:Clear.
- Stiefel_manifold wikiPageUsesTemplate Template:Reflist.
- 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 hypernym Set.
- Stiefel_manifold type Bundle.
- Stiefel_manifold type Physic.
- Stiefel_manifold type Space.
- 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 sameAs Q7616373.
- Stiefel_manifold sameAs Stiefel-Mannigfaltigkeit.
- Stiefel_manifold sameAs m.04yz8f.
- Stiefel_manifold sameAs Q7616373.
- Stiefel_manifold wasDerivedFrom Stiefel_manifold?oldid=684507478.
- Stiefel_manifold isPrimaryTopicOf Stiefel_manifold.