Localization of the Kobayashi metric and applications

doi:10.1007/s00209-020-02538-0

CSpace

	Localization of the Kobayashi metric and applications
	Liu, Jinsong 1,2; Wang, Hongyu 1,2
	2020-06-03
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
页码	17
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.
DOI	10.1007/s00209-020-02538-0
收录类别	SCI
语种	英语
资助项目	NSF of China[11925107] ; NSF of China[11671057] ; NSF of China[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000537676400002
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/51591
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.