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The structure of HCMU metric in a K-Surface

Qing Chen·Xiuxiong Chen·Yingyi Wu
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Abstract

We study the basic structure of a HCMU metric in a K-Surface with prescribed singularities. When the underlying smooth surface is $S^2$, we prove the necessary condition given in [1] for the existence of HCMU metric is also sufficient.

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Qing Chen, Xiuxiong Chen, Yingyi Wu. 2005-07-19. The structure of HCMU metric in a K-Surface. https://arxiv.org/abs/math/0507380

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