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群作用在复几何中的一些运用
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作者 guan daniel 《Chinese Quarterly Journal of Mathematics》 2023年第3期254-275,共22页
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 Kahler manifolds
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On Some Recent Progress in Complex Geometry-the Area Related to Homogeneous Manifolds 被引量:1
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作者 guan daniel 《Chinese Quarterly Journal of Mathematics》 2020年第2期111-144,共34页
In this article,we give a survey of some progress of the complex geometry,mostly related to the Lie group actions on compact complex manifolds and complex homogeneous spaces in the last thirty years.In particular,we e... In this article,we give a survey of some progress of the complex geometry,mostly related to the Lie group actions on compact complex manifolds and complex homogeneous spaces in the last thirty years.In particular,we explore some works in the special area in Di erential Geometry,Lie Group and Complex Homogeneous Space.Together with the special area in nonlinear analysis on complex manifolds,they are the two major aspects of my research interests. 展开更多
关键词 Invariant structure Homogeneous space Complex torus bundles Hermitian manifolds Reductive Lie group Compact manifolds Ricci form Locally conformal Kahler manifolds
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