Stiefel manifold

the manifold of all orthonormal k-frames in n-dimensional Euclidean space
Intangible mathematical_concept Q7616373
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Stiefel manifold

Summary

Stiefel manifold is a mathematical concept[1]. It draws 92 Wikipedia views per month (mathematical_concept category, ranking #190 of 1,007).[2]

Key Facts

  • Stiefel manifold's instance of is recorded as mathematical concept[3].
  • Stiefel manifold's subclass of is recorded as homogeneous space[4].
  • Stiefel manifold's subclass of is recorded as principal bundle[5].
  • Stiefel manifold's has part is recorded as orthonormal frame[6].
  • Stiefel manifold's Freebase ID is recorded as /m/04yz8f[7].
  • Stiefel manifold's defining formula is recorded as V(k;n) = \operatorname O(n)/\operatorname O(n-k)[8].
  • Stiefel manifold's MathWorld ID is recorded as StiefelManifold[9].
  • Stiefel manifold's nLab ID is recorded as Stiefel manifold[10].
  • Stiefel manifold's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Stiefel manifold's Microsoft Academic ID is recorded as 612670[12].
  • Stiefel manifold's OpenAlex ID is recorded as C612670[13].

Why It Matters

Stiefel manifold draws 92 Wikipedia views per month (mathematical_concept category, ranking #190 of 1,007).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[14]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Retrieved . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Stiefel manifold. Retrieved May 3, 2026, from https://4ort.xyz/entity/stiefel-manifold
MLA “Stiefel manifold.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/stiefel-manifold.
BibTeX @misc{4ortxyz_stiefel-manifold_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Stiefel manifold}}, year = {2026}, url = {https://4ort.xyz/entity/stiefel-manifold}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Stiefel manifold — https://4ort.xyz/entity/stiefel-manifold (retrieved 2026-05-03)

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