Metrics on a Surface with Bounded Total Curvature

doi:10.1093/imrn/rnab089

	Metrics on a Surface with Bounded Total Curvature
	Li, Yuxiang 2; Sun, Jianxin 1; Tang, Hongyan 2
刊名	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
	2021-05-11
页码	34
ISSN号	1073-7928
DOI	10.1093/imrn/rnab089
英文摘要	Let g = e(2u)g(euc) be a conformal metric defined on the unit disk of C. We give an estimate of parallel to del u parallel to(L2,infinity(D1/2)) when parallel to K(g)parallel to(L1) is small and mu(B-r(g)(z),g)/pi r(2) < Lambda for any r and z is an element of D-43. Then we use this estimate to study the Gromov-Hausdorff convergence of a conformal metric sequence with bounded parallel to K parallel to(L1) and give some applications.
资助项目	National Nature Science Foundation of China[11971451]
WOS研究方向	Mathematics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000755814000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59974]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Yuxiang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Li, Yuxiang,Sun, Jianxin,Tang, Hongyan. Metrics on a Surface with Bounded Total Curvature[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2021:34.
APA	Li, Yuxiang,Sun, Jianxin,&Tang, Hongyan.(2021).Metrics on a Surface with Bounded Total Curvature.INTERNATIONAL MATHEMATICS RESEARCH NOTICES,34.
MLA	Li, Yuxiang,et al."Metrics on a Surface with Bounded Total Curvature".INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2021):34.