Rotationally symmetric extremal pseudo-Kähler metrics of non-constant scalar curvatures

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Abstract

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.

Keywords

Extremal pseudo-Kahler metric phase change rotationally symmetric 

Mathematics Subject Classification

53C56 58B20 

Notes

Acknowledgements

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.

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Copyright information

© Indian Academy of Sciences 2018

Authors and Affiliations

  1. 1.Department of Applied MathematicsXiamen University of TechnologyXiamenChina

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