second fundamental form

quadratic form related to curvatures of surfaces
Thing general Q233220
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second fundamental form

Summary

second fundamental form ranks in the top 2% of general entities by monthly Wikipedia readership (131 views/month).[1]

Key Facts

  • second fundamental form's image is recorded as Second fundamental form.svg[2].
  • second fundamental form's follows is recorded as first fundamental form[3].
  • second fundamental form's followed by is recorded as third fundamental form[4].
  • second fundamental form's subclass of is recorded as symmetric bilinear form[5].
  • second fundamental form's subclass of is recorded as quadratic form[6].
  • second fundamental form's Freebase ID is recorded as /m/02_qv4[7].
  • second fundamental form's defining formula is recorded as \operatorname{I!I}(v,w)=\left\langle S(v),w\right\rangle=-\left\langle\nabla_vn,w\right\rangle =\left\langle n,\nabla_vw\right\rangle[8].
  • second fundamental form's MathWorld ID is recorded as SecondFundamentalForm[9].
  • second fundamental form's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • second fundamental form's Microsoft Academic ID is recorded as 119830904[11].
  • second fundamental form's in defining formula is recorded as S[12].
  • second fundamental form's in defining formula is recorded as \operatorname{I!I}[13].
  • second fundamental form's in defining formula is recorded as n[14].
  • second fundamental form's in defining formula is recorded as \langle~,~\rangle[15].
  • second fundamental form's Encyclopedia of Mathematics article ID is recorded as Second_fundamental_form[16].
  • second fundamental form's OpenAlex ID is recorded as C119830904[17].
  • second fundamental form's Lexikon der Mathematik entry ID is recorded as 12033[18].

Why It Matters

second fundamental form ranks in the top 2% of general entities by monthly Wikipedia readership (131 views/month).[1] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[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] . 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.
  17. [18] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . 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). second fundamental form. Retrieved April 10, 2026, from https://4ort.xyz/entity/second-fundamental-form
MLA “second fundamental form.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/second-fundamental-form.
BibTeX @misc{4ortxyz_second-fundamental-form_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{second fundamental form}}, year = {2026}, url = {https://4ort.xyz/entity/second-fundamental-form}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): second fundamental form — https://4ort.xyz/entity/second-fundamental-form (retrieved 2026-04-10)

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