Positivity of character subbundles and minimum principle for noncompact group actions

doi:10.1007/s00209-016-1767-x

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	Positivity of character subbundles and minimum principle for noncompact group actions
	Deng, Fusheng 1; Zhang, Huiping 2; Zhou, Xiangyu3,4
刊名	MATHEMATISCHE ZEITSCHRIFT
	2017-06-01
卷号	286 期号:1-2 页码:431-442
ISSN号	0025-5874
DOI	10.1007/s00209-016-1767-x
英文摘要	Based on the results of Berndtsson on the positivity of holomorphic vector bundles associated to holomorphic fibration, we prove that, under the setting of the compact Lie group actions, the character subbundles of such bundles are holomorphic vector bundles and positive in the sense of Nakano. The second main purpose of the present paper is to establish Berndtsson's integral form of Kiselman's minimum principle in the setting of the noncompact Lie group actions.
资助项目	NSFC
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000401004700014
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25467]
专题	数学所
通讯作者	Zhang, Huiping
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Peoples Renmin Univ China, Sch Informat, Dept Math, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Deng, Fusheng,Zhang, Huiping,Zhou, Xiangyu. Positivity of character subbundles and minimum principle for noncompact group actions[J]. MATHEMATISCHE ZEITSCHRIFT,2017,286(1-2):431-442.
APA	Deng, Fusheng,Zhang, Huiping,&Zhou, Xiangyu.(2017).Positivity of character subbundles and minimum principle for noncompact group actions.MATHEMATISCHE ZEITSCHRIFT,286(1-2),431-442.
MLA	Deng, Fusheng,et al."Positivity of character subbundles and minimum principle for noncompact group actions".MATHEMATISCHE ZEITSCHRIFT 286.1-2(2017):431-442.