Localization of the Kobayashi metric and applications

doi:10.1007/s00209-020-02538-0

	Localization of the Kobayashi metric and applications
	Liu, Jinsong 1,2; Wang, Hongyu 1,2
刊名	MATHEMATISCHE ZEITSCHRIFT
	2020-06-03
页码	17
ISSN号	0025-5874
DOI	10.1007/s00209-020-02538-0
英文摘要	In this paper we introduce a new class of domains- log-type convex domains, which have no boundary regularity assumptions. Then we will localize the Kobayashi metric in log-type convex subdomains. As an application, we prove a local version of continuous extension of rough isometric maps between two bounded domains with log-type convex Dini-smooth boundary points. Moreover we prove that the Teichmuller space T-g,T-n is not biholomorphic to any bounded pseudoconvex domain in C3g-3+n which is locally log-type convex near some boundary point.
资助项目	NSF of China[11925107] ; NSF of China[11671057] ; NSF of China[11688101]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000537676400002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51590]
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Jinsong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu, Jinsong,Wang, Hongyu. Localization of the Kobayashi metric and applications[J]. MATHEMATISCHE ZEITSCHRIFT,2020:17.
APA	Liu, Jinsong,&Wang, Hongyu.(2020).Localization of the Kobayashi metric and applications.MATHEMATISCHE ZEITSCHRIFT,17.
MLA	Liu, Jinsong,et al."Localization of the Kobayashi metric and applications".MATHEMATISCHE ZEITSCHRIFT (2020):17.