The structure of HCMU metric in a K-Surface

2005/07/19 by Qing Chen, Xiuxiong Chen, Yingyi Wu
Mathematics · #math.DG #msc:53C21 #msc:53A05

paper · pdf

published as IMRN, 16(2005), p.941-958

arxiv created 2005/07/19 · arxiv updated 2009/12/01

Abstract

We study the basic structure of a HCMU metric in a K-Surface with prescribed singularities. When the underlying smooth surface is S², we prove the necessary condition given in [1] for the existence of HCMU metric is also sufficient.

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• Classification of non-CSC extremal Kähler metrics on K-surfaces S²_\α\ and S²_\α,β\
• Realization of HCMU metrics in 3-dimensional space forms as Weingarten surfaces
• The moduli space of HCMU surfaces
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