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arXiv · 0710.5204

Kähler Ricci flow on Fano surfaces (I)

Xiuxiong Chen·Bing Wang
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Abstract

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 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.

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Xiuxiong Chen, Bing Wang. 2009-01-12. Kähler Ricci flow on Fano surfaces (I). https://arxiv.org/abs/0710.5204

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