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arXiv · 1302.6655

HCMU metrics with cusp singularities and conical singularities

Chen Qing·Wu Yingyi·Xu Bin
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Abstract

An HCMU metric is a conformal metric which has a finite number of singularities on a compact Riemann surface and satisfies the equation of the extremal K\"{a}hler metric. In this paper, we give a necessary and sufficient condition for the existence of a kind of HCMU metrics which has both cusp singularities and conical singularities.

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Chen Qing, Wu Yingyi, Xu Bin. 2013-02-27. HCMU metrics with cusp singularities and conical singularities. https://arxiv.org/abs/1302.6655

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