original_query: What is the formula for the Ricci form?
query: What is the formula for the Ricci form?
answer: In local holomorphic coordinates, the Ricci form is given by \(\frac{i}{2\pi} \partial \bar{\partial} \log \det(g_{\alpha \bar{\beta}})\), where \(\partial\) and \(\bar{\partial}\) are Dolbeault operators and \(g_{\alpha \bar{\beta}}\) are the components of the metric tensor.