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conformal Killing vector field

vector field v on a (pseudo-)Riemannian manifold, such that the Lie derivative of the metric by v equals the pointwise scaling of the metric by a scalar field: ℒᵥg = φg
Thing general Q3555167
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Summary

Key Facts

  • conformal Killing vector field's subclass of is recorded as vector field[1].
  • conformal Killing vector field's Freebase ID is recorded as /m/07s407[2].
  • conformal Killing vector field's defining formula is recorded as (\mathcal L_Xg)(x)=\phi(x)g(x)[3].
  • conformal Killing vector field's Google Knowledge Graph ID is recorded as /g/121y0cmt[4].
  • conformal Killing vector field's Google Knowledge Graph ID is recorded as /g/120z_3x5[5].
  • conformal Killing vector field's Google Knowledge Graph ID is recorded as /g/11cssxb89r[6].
  • conformal Killing vector field's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • conformal Killing vector field's Microsoft Academic ID is recorded as 2780479513[8].
  • conformal Killing vector field's Microsoft Academic ID is recorded as 2780674147[9].
  • conformal Killing vector field's in defining formula is recorded as g[10].
  • conformal Killing vector field's in defining formula is recorded as \mathcal L[11].
  • conformal Killing vector field's in defining formula is recorded as X[12].
  • conformal Killing vector field's in defining formula is recorded as \lambda[13].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.
  6. [6] ↑ . wikidata.org.
  7. [7] ↑ . wikidata.org.
  8. [8] ↑ . wikidata.org.
  9. [9] ↑ . wikidata.org.
  10. [10] ↑ . wikidata.org.
  11. [11] ↑ . wikidata.org.
  12. [12] ↑ . wikidata.org.
  13. [13] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). conformal Killing vector field. Retrieved October 14, 2026, from https://4ort.xyz/entity/conformal-killing-vector-field
MLA “conformal Killing vector field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/conformal-killing-vector-field.
BibTeX @misc{4ortxyz_conformal-killing-vector-field_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{conformal Killing vector field}}, year = {2026}, url = {https://4ort.xyz/entity/conformal-killing-vector-field}, note = {Accessed: 2026-10-14}}
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