Constant scalar curvature Kähler metric

A **constant scalar curvature Kähler (cscK) metric** is a special type of Kähler metric that arises in the field of differential geometry, particularly in the study of Kähler manifolds. To understand this concept, it's helpful to break down the components involved: 1. **Kähler Manifold**: A Kähler manifold is a complex manifold \( (M, J) \) equipped with a Kähler metric \( g \).