Frontiers of Mathematics in China >
New proof of a Calabi’s theorem
Received date: 29 Dec 2010
Accepted date: 27 Jun 2012
Published date: 01 Oct 2012
Copyright
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.
Key words： Extremal metric; compact Riemann surface
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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