HCMU metrics with cusp singularities and conical singularities
Differential Geometry
2013-02-28 v1
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.
Keywords
Cite
@article{arxiv.1302.6655,
title = {HCMU metrics with cusp singularities and conical singularities},
author = {Chen Qing and Wu Yingyi and Xu Bin},
journal= {arXiv preprint arXiv:1302.6655},
year = {2013}
}
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34 pages