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.
机构:
Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China