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arxiv: math/0507380 · v1 · submitted 2005-07-19 · 🧮 math.DG

The structure of HCMU metric in a K-Surface

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keywords hcmumetrick-surfacestructurebasicconditionexistencegiven
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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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