On the boundedness of invariant hyperbolic domains

doi:10.5802/crmath.42

	On the boundedness of invariant hyperbolic domains
	Ning, Jiafu 1; Zhou, Xiangyu 2,3
刊名	COMPTES RENDUS MATHEMATIQUE
	2020
卷号	358 期号:3 页码:321-326
ISSN号	1631-073X
DOI	10.5802/crmath.42
英文摘要	In this paper, we generalize a theorem of A. Kodama about boundedness of hyperbolic circular domains. We will prove that if K is a compact Lie group which acts linearly on C-n with O(C-n)(K) = C, and Omega is a K-invariant orbit convex domain in C-n which contains 0, then Omega is bounded if and only if Omega is Kobayashi hyperbolic.
资助项目	NSFC
WOS研究方向	Mathematics
语种	英语
出版者	centre Mersenne pour ldition scientifique ouverte
WOS记录号	WOS:000573974000008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52281]
专题	中国科学院数学与系统科学研究院
通讯作者	Ning, Jiafu
作者单位	1.Cent South Univ, Dept Math, Changsha 410083, Hunan, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ning, Jiafu,Zhou, Xiangyu. On the boundedness of invariant hyperbolic domains[J]. COMPTES RENDUS MATHEMATIQUE,2020,358(3):321-326.
APA	Ning, Jiafu,&Zhou, Xiangyu.(2020).On the boundedness of invariant hyperbolic domains.COMPTES RENDUS MATHEMATIQUE,358(3),321-326.
MLA	Ning, Jiafu,et al."On the boundedness of invariant hyperbolic domains".COMPTES RENDUS MATHEMATIQUE 358.3(2020):321-326.