Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103795
Title: On the existence of extremal metrics
Authors: Xu, X. 
Issue Date: Jun-1996
Source: Xu, X. (1996-06). On the existence of extremal metrics. Pacific Journal of Mathematics 174 (2) : 555-568. ScholarBank@NUS Repository.
Abstract: We study the well known variational problem proposed by Calabi: Minimize the functional ∫M s2 gdvg among all metrics in a given Kahler class. We are able to establish the existence of the extremal when the closed Riemann surface has genus different from zero. We have also given a different proof of the result originally proved by Calabi that: On a closed Riemann surface, the extremal metric has constant scalar curvature on a closed Riemann surface, the extremal metric has constant scalar curvature, which originally is proved by Calabi.
Source Title: Pacific Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103795
ISSN: 00308730
Appears in Collections:Staff Publications

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