Ja n 20 09 Kähler Ricci Flow on Fano Surfaces ( I )

نویسندگان

  • Xiuxiong Chen
  • Bing Wang
چکیده

We show the properties of the blowup limits of Kähler Ricci flow solutions on Fano surfaces if Riemannian curvature is unbounded. As an application, on every toric Fano surface, we prove that Kähler Ricci flow 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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تاریخ انتشار 2007