Rotationally symmetric extremal pseudo-Kähler metrics of non-constant scalar curvatures
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In this paper, we explicitly construct some rotationally symmetric extremal (pseudo-)Kähler metrics of non-constant scalar curvature, which depend on some parameters, and on some line bundles over projective spaces. We also discuss the phase change phenomenon caused by the variation of parameters.
KeywordsExtremal pseudo-Kahler metric phase change rotationally symmetric
Mathematics Subject Classification53C56 58B20
The author is partially supported by the Natural Science Foundation of Fujian Province (2013J01027) and is very grateful to Wei Li for his help in the revision process.
- 3.Calabi E, Extremal Kähler metrics, in: Seminars on Differential Geometry, edited by S T Yau (1982) (Univ. of Tokyo Press, Tokyo) pp. 259–290Google Scholar