 Weil–Petersson metric

The Weil–Petersson metric is a Kähler metric defined on the moduli space of Riemann surfaces. It arises in the context of complex geometry and has important applications in various fields such as algebraic geometry, Teichmüller theory, and mathematical physics. Here's a more detailed overview: 1. **Context**: The Weil–Petersson metric is most commonly studied on the Teichmüller space of Riemann surfaces.