The space of germs of extremal K\" ahler metrics in one dimension comprises three distinct ${\mathbb{R}}^3$ components

Qing Chen, Yiqian Shi, Bin Xu

In the 1980s, Eugenio Calabi introduced the concept of {\it extremal K\" ahler metrics} as critical points of the $L^2$-norm functional of scalar curvature in the space of K\" ahle…