Equation 5.4.1E64CA5AFE6C4

\begin{equation} \partial _{z_ l}t_{j\bar k}=\partial _{z_ j}t_{l\bar k},\qquad \partial _{\bar z_ l}t_{j\bar k}=\partial _{\bar z_ k}t_{j\bar l} \qquad \text{for all }j,k,l. \end{equation}