RESEARCH ARTICLE

New proof of a Calabi’s theorem

  • Yingyi WU
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  • School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 29 Dec 2010

Accepted date: 27 Jun 2012

Published date: 01 Oct 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

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.

Cite this article

Yingyi WU . New proof of a Calabi’s theorem[J]. Frontiers of Mathematics in China, 2012 , 7(5) : 933 -941 . DOI: 10.1007/s11464-012-0232-3

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