Lie bracket of vector fields

operator in differential topology
Thing general Q5478310
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Lie bracket of vector fields

Summary

Lie bracket of vector fields ranks in the top 2% of general entities by monthly Wikipedia readership (168 views/month).[1]

Key Facts

  • Lie bracket of vector fields's subclass of is recorded as binary operator[2].
  • Lie bracket of vector fields's subclass of is recorded as Lie bracket[3].
  • Lie bracket of vector fields's subclass of is recorded as Lie derivative[4].
  • Lie bracket of vector fields's Freebase ID is recorded as /m/02q7bbg[5].
  • Lie bracket of vector fields's different from is recorded as Lie bracket[6].
  • Lie bracket of vector fields's defining formula is recorded as [X,Y]=(X^j\partial_jY^i-Y^j\partial_jX^i)\partial_i[7].
  • Lie bracket of vector fields's Microsoft Academic ID is recorded as 14344131[8].
  • Lie bracket of vector fields's in defining formula is recorded as X[9].
  • Lie bracket of vector fields's in defining formula is recorded as Y[10].
  • Lie bracket of vector fields's in defining formula is recorded as [,][11].
  • Lie bracket of vector fields's in defining formula is recorded as \partial[12].
  • Lie bracket of vector fields's Encyclopedia of Mathematics article ID is recorded as Lie_bracket[13].
  • Lie bracket of vector fields's PlanetMath ID is recorded as LieBracket[14].
  • Lie bracket of vector fields's OpenAlex ID is recorded as C14344131[15].

Why It Matters

Lie bracket of vector fields ranks in the top 2% of general entities by monthly Wikipedia readership (168 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[16] It is known by 4 alternative names across languages and contexts.[17]

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] . 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. wikidata.org.
  3. [17] . 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). Lie bracket of vector fields. Retrieved April 10, 2026, from https://4ort.xyz/entity/lie-bracket-of-vector-fields
MLA “Lie bracket of vector fields.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/lie-bracket-of-vector-fields.
BibTeX @misc{4ortxyz_lie-bracket-of-vector-fields_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Lie bracket of vector fields}}, year = {2026}, url = {https://4ort.xyz/entity/lie-bracket-of-vector-fields}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Lie bracket of vector fields — https://4ort.xyz/entity/lie-bracket-of-vector-fields (retrieved 2026-04-10)

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