Disformation tensor
= Disformation tensor
{title2=$W_{ab c}=\tfrac12(N_{ab c}-N_{bc a}-N_{ca b})$}
With derivative-last connection coefficients and $N_{ab c}=\nabla_cg_{ab}$, the displayed <tensor> is the symmetric-in-$a,b$ correction associated with the <nonmetricity tensor>. Raising its final slot gives the correction to connection coefficients. It vanishes for <metric compatibility>. Reversing the sign used to define nonmetricity reverses this formula.