Killing-Yano tensor
= Killing-Yano tensor
{c}
{title2=$\nabla_{(a}Y_{b)c_2\cdots c_r}=0$}
A Killing-Yano tensor is a <differential form> satisfying the displayed equation for the <Levi-Civita connection>. Its <covariant derivative> is totally antisymmetric. Contraction with the velocity of an affinely parametrized <geodesic> gives a form that is carried by <parallel transport> along that <geodesic>. This differs from a <Killing tensor>, which is symmetric.