Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103795
DC FieldValue
dc.titleOn the existence of extremal metrics
dc.contributor.authorXu, X.
dc.date.accessioned2014-10-28T02:41:31Z
dc.date.available2014-10-28T02:41:31Z
dc.date.issued1996-06
dc.identifier.citationXu, X. (1996-06). On the existence of extremal metrics. Pacific Journal of Mathematics 174 (2) : 555-568. ScholarBank@NUS Repository.
dc.identifier.issn00308730
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103795
dc.description.abstractWe 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.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.sourcetitlePacific Journal of Mathematics
dc.description.volume174
dc.description.issue2
dc.description.page555-568
dc.identifier.isiutNOT_IN_WOS
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