Killing vector field
VECTOR FIELD ON A RIEMANNIAN MANIFOLD THAT PRESERVES THE METRIC
Killing vector; Killing vector fields; Killing vectors; Killing symmetry; Killing Vectors; Killing equation
In mathematics, a Killing vector field (often called a Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric. Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continuous isometries of the manifold.