Let (M,ω) be a Kaehler manifold. The Ricci form is noted ρ(ω). A Kaehler-Ricci flow on functions is defined by the formula:
∂ϕ∂t=⋆∂ˉ∂⋆ρ(ω+∂ˉ∂ϕ)
with ⋆ the Hodge operator on exterior forms.
Can we find solutions of the Kaehler-Ricci flow on functions? Does it converge?