K\"ahler Ricci flow on Fano surfaces (I)

Bing Wang; Xiuxiong Chen

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K\"ahler Ricci flow on Fano surfaces (I)

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arxiv 0710.5204 v2 pith:TU5DNTFI submitted 2007-10-27 math.DG math.AG

K\"ahler Ricci flow on Fano surfaces (I)

Xiuxiong Chen , Bing Wang This is my paper

classification math.DG math.AG

keywords ricciahlerfanosurfacestoricflowmetricsoliton

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

K\"ahler Ricci flow on Fano surfaces (I)

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