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
	2017-06-01
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
卷号	286 期号:1-2 页码:431-442
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.
DOI	10.1007/s00209-016-1767-x
语种	英语
资助项目	NSFC
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000401004700014
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25468
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.