Home › Entities › general › Killing vector field

Killing vector field

vector field on a (pseudo-)Riemannian manifold that preserves the metric
Thing general Q1200279
Press Enter · cited answer in seconds

Killing vector field

Summary

Killing vector field ranks in the top 2% of general entities by monthly Wikipedia readership (120 views/month).[1]

Key Facts

  • Wilhelm Killing is named after Killing vector field[2].
  • Killing vector field's subclass of is recorded as homothetic vector field[3].
  • Killing vector field's subclass of is recorded as Killing tensor[4].
  • Killing vector field's subclass of is recorded as Killing–Yano tensor[5].
  • Killing vector field's Freebase ID is recorded as /m/03_cfy[6].
  • Killing vector field's defining formula is recorded as \mathcal L_Xg=0[7].
  • Killing vector field's MathWorld ID is recorded as KillingVectors[8].
  • Killing vector field's nLab ID is recorded as Killing vector field[9].
  • Killing vector field's Microsoft Academic ID is recorded as 42519931[10].
  • Killing vector field's ProofWiki ID is recorded as Definition:Killing_Vector_Field[11].
  • Killing vector field's in defining formula is recorded as g[12].
  • Killing vector field's in defining formula is recorded as \mathcal L[13].
  • Killing vector field's in defining formula is recorded as X[14].
  • Killing vector field's OpenAlex ID is recorded as C42519931[15].

Why It Matters

Killing vector field ranks in the top 2% of general entities by monthly Wikipedia readership (120 views/month).[1] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[16] It is known by 21 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] ↑ . Freebase Data Dumps. 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). Killing vector field. Retrieved April 10, 2026, from https://4ort.xyz/entity/killing-vector-field
MLA “Killing vector field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/killing-vector-field.
BibTeX @misc{4ortxyz_killing-vector-field_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Killing vector field}}, year = {2026}, url = {https://4ort.xyz/entity/killing-vector-field}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Killing vector field — https://4ort.xyz/entity/killing-vector-field (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/killing-vector-field · Last refreshed: