Gaussian curvature

product of the principal curvatures of a surface
Thing general Q945953
Gaussian curvature
Nicoguaro · Public Domain · Wikimedia
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Gaussian curvature

Summary

Gaussian curvature ranks in the top 2% of general entities by monthly Wikipedia readership (389 views/month).[1]

Key Facts

  • Gaussian curvature's image is recorded as Gaussian curvature.svg[2].
  • Carl Friedrich Gauss is named after Gaussian curvature[3].
  • Gaussian curvature's subclass of is recorded as curvature[4].
  • Gaussian curvature's subclass of is recorded as determinant[5].
  • Gaussian curvature's Commons category is recorded as Gaussian curvature[6].
  • Gaussian curvature's Freebase ID is recorded as /m/01pzrb[7].
  • Gaussian curvature's Encyclopædia Britannica Online ID is recorded as topic/Gaussian-curvature[8].
  • Gaussian curvature's MathWorld ID is recorded as GaussianCurvature[9].
  • Gaussian curvature's Quora topic ID is recorded as Gaussian-Curvature[10].
  • Gaussian curvature's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Gaussian curvature's Microsoft Academic ID is recorded as 16140857[12].
  • Gaussian curvature's ProofWiki ID is recorded as Definition:Gaussian_Curvature[13].
  • Gaussian curvature's OpenAlex ID is recorded as C16140857[14].
  • Gaussian curvature's ScienceDirect topic ID is recorded as mathematics/gaussian-curvature[15].
  • Gaussian curvature's invariant under is recorded as isometry[16].
  • Gaussian curvature's Lexikon der Mathematik entry ID is recorded as 3392[17].

Why It Matters

Gaussian curvature ranks in the top 2% of general entities by monthly Wikipedia readership (389 views/month).[1] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[18] It is known by 3 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] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . Freebase Data Dumps. wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . Quora. wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.
  13. [14] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  14. [15] ↑ . wikidata.org.
  15. [16] ↑ . wikidata.org.
  16. [17] ↑ . 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). Gaussian curvature. Retrieved October 8, 2026, from https://4ort.xyz/entity/gaussian-curvature
MLA “Gaussian curvature.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Oct. 2026, https://4ort.xyz/entity/gaussian-curvature.
BibTeX @misc{4ortxyz_gaussian-curvature_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gaussian curvature}}, year = {2026}, url = {https://4ort.xyz/entity/gaussian-curvature}, note = {Accessed: 2026-10-08}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Gaussian curvature — https://4ort.xyz/entity/gaussian-curvature (retrieved 2026-10-08)

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