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Show that Gram-Schmidt$(Y)$ = $B$Gram-Schmidt$(X)$ such that $B$ is an orthogonal matrix

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#linear-algebra #matrices #orthogonal-matrices #gram-schmidt #stiefel-manifolds
3.1k
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Difference between Grassmann and Stiefel manifolds

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#optimization #manifolds #grassmannian #stiefel-manifolds
685
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Cohomology of Stiefel manifolds

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#homology-cohomology #complex-geometry #stiefel-manifolds
421
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Nearest semi-orthogonal matrix using the entry-wise $ {\ell}_{1} $ norm

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#matrices #optimization #orthogonal-matrices #non-convex-optimization #stiefel-manifolds
867
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Cell structure on Stiefel manifolds

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#algebraic-topology #manifolds #cw-complexes #stiefel-manifolds
4.6k
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Fundamental groups of Grassmann and Stiefel manifolds

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#algebraic-topology #fundamental-groups #grassmannian #stiefel-manifolds
1.3k
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Is the Stiefel manifold $V_k(\mathbb{R}^n)$ homeomorphic to $O(n)/O(n-k)$?

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#manifolds #stiefel-manifolds
398
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Obstruction cocycle of Stiefel manifold

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#algebraic-topology #vector-bundles #characteristic-classes #stiefel-manifolds
1k
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Stiefel manifolds are $n - p - q$ connected.

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#algebraic-topology #stiefel-manifolds
247
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Spectral Sequence and Stiefel Manifold

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#algebraic-topology #spectral-sequences #stiefel-manifolds
794
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Contractibility of the sphere and Stiefel manifolds of a separable Hilbert space

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#algebraic-topology #hilbert-spaces #stiefel-manifolds
347
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Type homotopy of Stiefel variety

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#algebraic-topology #stiefel-manifolds
867
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Fiber bundle on Stiefel manifold

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#algebraic-topology #fiber-bundles #stiefel-manifolds
400
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Tangent and normal space of the Stiefel manifold

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#matrices #differential-geometry #tangent-spaces #stiefel-manifolds
291
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What is the dimension of a complex Stiefel manifold

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#differential-geometry #stiefel-manifolds

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