symmetric space

pseudo-Riemannian manifold whose symmetry group contains an inversion symmetry about every point
Thing general Q3058244
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symmetric space

Summary

symmetric space ranks in the top 2% of general entities by monthly Wikipedia readership (106 views/month).[1]

Key Facts

  • symmetric space's subclass of is recorded as locally symmetric space[2].
  • symmetric space's subclass of is recorded as weakly symmetric space[3].
  • symmetric space's Freebase ID is recorded as /m/05k14z[4].
  • symmetric space's defining formula is recorded as G/H\qquad(\mathfrak g=\mathfrak h\oplus\mathfrak m,\;[\mathfrak h,\mathfrak h]\subset\mathfrak h,\;[\mathfrak h,\mathfrak m]\subset\mathfrak m,\;[\mathfrak m,\mathfrak m]\subset\mathfrak h)[5].
  • symmetric space's studied by is recorded as Lie theory[6].
  • symmetric space's nLab ID is recorded as symmetric space[7].
  • symmetric space's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • symmetric space's Microsoft Academic ID is recorded as 139941754[9].
  • symmetric space's in defining formula is recorded as G/H[10].
  • symmetric space's in defining formula is recorded as G[11].
  • symmetric space's in defining formula is recorded as H[12].
  • symmetric space's in defining formula is recorded as \mathfrak g[13].
  • symmetric space's in defining formula is recorded as \mathfrak h[14].
  • symmetric space's in defining formula is recorded as [,][15].
  • symmetric space's in defining formula is recorded as \mathfrak m[16].
  • symmetric space's OpenAlex ID is recorded as C139941754[17].

Why It Matters

symmetric space ranks in the top 2% of general entities by monthly Wikipedia readership (106 views/month).[1] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[18] It is known by 11 alternative names across languages and contexts.[19]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . Freebase Data Dumps. wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . Wikidata aliases. 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). symmetric space. Retrieved April 10, 2026, from https://4ort.xyz/entity/symmetric-space
MLA “symmetric space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/symmetric-space.
BibTeX @misc{4ortxyz_symmetric-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{symmetric space}}, year = {2026}, url = {https://4ort.xyz/entity/symmetric-space}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): symmetric space — https://4ort.xyz/entity/symmetric-space (retrieved 2026-04-10)

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