Kähler Ricci flow on Fano surfaces (I)

Original · EN

We show the properties of the blowup limits of solutions on Fano surfaces if Riemannian curvature is unbounded. As an application, on every toric Fano surface, we prove that converges to a Kähler Ricci soliton metric if the initial metric has toric symmetry. Therefore we give a new Ricci flow proof of existence of Kähler Ricci soliton metrics on toric surfaces.