On the character 1-form of an HCMU metric

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Abstract

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.

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Meromorphic and Entire Functions Holomorphic and Operator Theory Analytic and geometric function theory

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Published in: Journal of the Graduate School of the Chinese Academy of Sciences

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On the character 1-form of an HCMU metric

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Abstract

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