Rank-two Killing tensor (source code)

= Rank-two Killing tensor
{title2=$K_{ab}=K_{ba},\quad\nabla_{(a}K_{bc)}=0$}

A symmetric two-tensor satisfying this equation gives a <quadratic geodesic first integral>. Examples include the <Riemannian metric>, symmetric products of metric-dual <Killing vector fields>, and the <square of a Killing-Yano two-form>.