nLab Kähler potential

Idea

On a Kähler manifold the Kähler form $\omega$ can locally be written as

$$\omega =\sqrt{-1} \partial \overline{\partial} K$$

for some real-valued function $K$, where $\partial$ denotes the Dolbeault operator. This function $K$ is called the corresponding Kähler potential.

Related concepts

• Poincaré lemma