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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front Math Chin    2012, Vol. 7 Issue (5) : 933-941    https://doi.org/10.1007/s11464-012-0232-3
RESEARCH ARTICLE
New proof of a Calabi’s theorem
Yingyi WU()
School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China
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Abstract

A Calabi’s theorem says that on a compact Riemann surface, an extremal metric is a constant scalar curvature metric. In this paper, we use a new method to prove this theorem. Then we give an interesting corollary.

Keywords Extremal metric      compact Riemann surface     
Corresponding Author(s): WU Yingyi,Email:Chinawuyy@gucas.ac.cn   
Issue Date: 01 October 2012
 Cite this article:   
Yingyi WU. New proof of a Calabi’s theorem[J]. Front Math Chin, 2012, 7(5): 933-941.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-012-0232-3
https://academic.hep.com.cn/fmc/EN/Y2012/V7/I5/933
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