scalar curvature

scalar quantity constructed out of second derivatives of a (pseudo-)Riemannian metric
Intangible mathematical_concept Q1147161
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scalar curvature

Summary

scalar curvature is a mathematical concept[1]. It draws 106 Wikipedia views per month (mathematical_concept category, ranking #153 of 1,007).[2]

Key Facts

  • scalar curvature's instance of is recorded as mathematical concept[3].
  • scalar curvature's subclass of is recorded as curvature[4].
  • scalar curvature's subclass of is recorded as scalar field[5].
  • scalar curvature's Freebase ID is recorded as /m/01pzqy[6].
  • scalar curvature's defining formula is recorded as S = \operatorname{tr}g\operatorname{Ric}=2g^{ab} \left({\Gamma^c}{a[b,c]} + {\Gamma^d}{a[b}{\Gamma^c}{c]d}\right)[7].
  • scalar curvature's MathWorld ID is recorded as ScalarCurvature[8].
  • scalar curvature's nLab ID is recorded as scalar curvature[9].
  • scalar curvature's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • scalar curvature's Microsoft Academic ID is recorded as 12520029[11].
  • scalar curvature's in defining formula is recorded as S[12].
  • scalar curvature's in defining formula is recorded as \operatorname{Ric}[13].
  • scalar curvature's in defining formula is recorded as \Gamma^a_{bc}[14].
  • scalar curvature's in defining formula is recorded as g[15].
  • scalar curvature's Encyclopedia of Mathematics article ID is recorded as Scalar_curvature[16].
  • scalar curvature's Namuwiki ID is recorded as 스칼라 곡률[17].
  • scalar curvature's Enciclopedia della Scienza e della Tecnica ID is recorded as curvatura-scalare[18].
  • scalar curvature's OpenAlex ID is recorded as C12520029[19].
  • scalar curvature's Lexikon der Mathematik entry ID is recorded as 9783[20].
  • scalar curvature's Lexikon der Mathematik entry ID is recorded as 11206[21].

Why It Matters

scalar curvature draws 106 Wikipedia views per month (mathematical_concept category, ranking #153 of 1,007).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[22] It is known by 20 alternative names across languages and contexts.[23]

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] . Freebase Data Dumps. 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] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] . Wikidata sitelinks. wikidata.org.
  3. [23] . 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). scalar curvature. Retrieved May 3, 2026, from https://4ort.xyz/entity/scalar-curvature
MLA “scalar curvature.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/scalar-curvature.
BibTeX @misc{4ortxyz_scalar-curvature_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{scalar curvature}}, year = {2026}, url = {https://4ort.xyz/entity/scalar-curvature}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): scalar curvature — https://4ort.xyz/entity/scalar-curvature (retrieved 2026-05-03)

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