Chinese Quarterly Journal of Mathematics ›› 2023, Vol. 38 ›› Issue (3): 254-275.doi: 10.13371/j.cnki.chin.q.j.m.2023.03.002

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Some Applications of Group Actions in Complex Geometry

  

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Department of
    Mathematics, University of California at Riverside, CA 92521, U.S.A.
  • Received:2023-09-03 Online:2023-09-30 Published:2023-09-30
  • Contact: GUAN Daniel (1962-), male, native of Fuzhou, Fujian, professor of Henan University, engages in complex differential geometry. E-mail: guan@henu.edu.cn
  • About author:GUAN Daniel (1962-), male, native of Fuzhou, Fujian, professor of Henan University, engages in complex differential geometry.
  • Supported by:
    This research is partially supported by NSFC (Grant No. 12171140).

Abstract: In this article, we give a further survey of some progress of the applications
of group actions in the complex geometry after my earlier survey around 2020, mostly
related to my own interests.

Key words:  Invariant structure, Homogeneous space, Fiber bundles, Hermitian manifolds;
Reductive Lie group,
Compact manifolds, Chern class, Co-homogeneity one K¨ahler
manifolds

CLC Number: