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math.DG2005
The structure of HCMU metric in a K-Surface
Qing Chen, Xiuxiong Chen, Yingyi Wu
We study the basic structure of a HCMU metric in a K-Surface with prescribed singularities. When the underlying smooth surface is , we prove the necessary condition given in […
math.DG2005★ 3 cited
A note on uniformization of Riemann surfaces by Ricci flow
Xiuxiong Chen, Peng Lu, Gang Tian
In this note we clarify that the Rcci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.
math.DG2005★ 3 cited
On the lower bound of energy functional E_1 (I)-- a stability theorem on the Kaehler Ricci flow
Xiuxiong Chen
In the present paper, we prove a stability theorem for the Kaehler Ricci flow near the infimum of the functional E_1 under the assumption that the initial metric has Ricci > -1 and…