New proof of a Calabi’s theorem

Yingyi Wu

doi:10.1007/s11464-012-0232-3

Front. Math. China ›› 2012, Vol. 7 ›› Issue (5) : 933 -941. DOI: 10.1007/s11464-012-0232-3

Research Article

RESEARCH ARTICLE

New proof of a Calabi’s theorem

Yingyi Wu ¹^,^a

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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

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Yingyi Wu. New proof of a Calabi’s theorem. Front. Math. China, 2012, 7(5): 933-941 DOI:10.1007/s11464-012-0232-3

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References

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