The Calabi flow evolves a Kähler metric on a compact manifold by the deviation of its scalar curvature from its average. Writing its Kähler form as 
, the potential
satisfies
 |
where 
is the complex
trace of the Ricci curvature and 
its volume average. This specifies
the scalar curvature normalization used here.
A metric with constant 
is stationary.
