Conformal vector field
A conformal vector field (often conformal Killing vector field and occasionally conformal or conformal collineation) of a Riemannian manifold is a vector field
that satisfies:
for some smooth real-valued function on
, where
denotes the Lie derivative of the metric
with respect to
. In the case that
is identically zero,
is called a Killing vector field.
See also
- Affine vector field
- Curvature collineation
- Homothetic vector field
- Killing vector field
- Matter collineation
- Spacetime symmetries
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