# 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

**Wikidata**: [Q3555167](https://www.wikidata.org/wiki/Q3555167)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Conformal_Killing_vector_field)  
**Source**: https://4ort.xyz/entity/conformal-killing-vector-field