群作用在复几何中的一些运用

doi:10.13371/j.cnki.chin.q.j.m.2023.03.002

数学季刊 ›› 2023, Vol. 38 ›› Issue (3): 254-275.doi: 10.13371/j.cnki.chin.q.j.m.2023.03.002

群作用在复几何中的一些运用

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.

收稿日期:2023-09-03 出版日期:2023-09-30 发布日期:2023-09-30
通讯作者: GUAN Daniel (1962-), male, native of Fuzhou, Fujian, professor of Henan University, engages in complex differential geometry. E-mail: guan@henu.edu.cn
作者简介:GUAN Daniel (1962-), male, native of Fuzhou, Fujian, professor of Henan University, engages in complex differential geometry.
基金资助:
This research is partially supported by NSFC (Grant No. 12171140).

Some Applications of Group Actions in Complex Geometry

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).

摘要/Abstract

摘要： 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.

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

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

中图分类号:

关庄丹. 群作用在复几何中的一些运用[J]. 数学季刊, 2023, 38(3): 254-275.

GUAN Daniel. Some Applications of Group Actions in Complex Geometry[J]. Chinese Quarterly Journal of Mathematics, 2023, 38(3): 254-275.

群作用在复几何中的一些运用

Some Applications of Group Actions in Complex Geometry

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