Acta mathematica scientia,Series B ›› 2023, Vol. 43 ›› Issue (1): 363-372.doi: 10.1007/s10473-023-0120-9

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MAXWELL-EINSTEIN METRICS ON COMPLETIONS OF CERTAIN ${\bf C}^*$ BUNDLES*

Zhuangdan Guan1,2   

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 453007 China;
    2. Department of Mathematics, The University of California at Riverside, Riverside, CA 92521, USA
  • Received:2021-05-05 Revised:2022-06-29 Published:2023-03-01
  • About author:Zhuangdan Guan,E-mail: guan@henu.edu.cn
  • Supported by:
    *NSFC (12171140).

Abstract: In this paper, we prove that for some completions of certain fiber bundles there is a Maxwell-Einstein metric conformally related to any given K\"ahler class.

Key words: Hermitian metrics, Maxwell-Einstein metrics, complex manifolds, scalar curvature, fiber bundle, almost homogeneous manifolds

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