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On the character 1-form of an HCMU metric
Received date: 2008-07-11
Revised date: 2008-09-09
Online published: 2009-03-15
Supported by
supported in part by the President Fund of GUCAS
An HCMU metric is a kind of extremal metric with conical singularities on a Riemann surface. It can be characterized by a meromorphic 1-form. In this paper we give some important properties of this meromorphic 1-form. As an application we prove the sufficient and necessary condition of the Gauss curvature of an HCMU metric being smooth.
Key words： extremal metric; HCMU metric; character 1-form
WU Ying-Yi . On the character 1-form of an HCMU metric[J]. Journal of University of Chinese Academy of Sciences, 2009 , 26(2) : 185 -193 . DOI: 10.7523/j.issn.2095-6134.2009.2.006
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