Stiefel manifold

id: stiefel-manifold-302-11568767
title: Stiefel manifold
text: In mathematics, the Stiefel manifold V k is the set of all orthonormal k-frames in R n . That is, it is the set of ordered orthonormal k-tuples of vectors in R n . It is named after Swiss mathematician Eduard Stiefel. Likewise one can define the complex Stiefel manifold V k of orthonormal k-frames in C n and the quaternionic Stiefel manifold V k of orthonormal k-frames in H n . More generally, the construction applies to any real, complex, or quaternionic inner product space. In some contexts, a
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original url: https://en.wikipedia.org/wiki/Stiefel_manifold
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date modified: 2024-01-12T11:45:45Z
main entity: {"identifier":"Q7616373","url":"https://www.wikidata.org/entity/Q7616373"}
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