Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies

doi:10.1007/s11425-018-9475-1

	Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies
	Wei, Guodong
刊名	SCIENCE CHINA-MATHEMATICS
	2021-04-01
卷号	64 期号:4 页码:781-798
关键词	Willmore functional bubble tree conformal immersion
ISSN号	1674-7283
DOI	10.1007/s11425-018-9475-1
英文摘要	In this paper, we first extend the classical Helein's convergence theorem to a sequence of rescaled branched conformal immersions. By virtue of this local convergence theorem, we study the blow-up behavior of a sequence of branched conformal immersions of a closed Riemann surface in Double-struck capital R-n with uniformly bounded areas and Willmore energies. Furthermore, we prove that the integral identity of Gauss curvature is true.
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000632927900007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58333]
专题	中国科学院数学与系统科学研究院
通讯作者	Wei, Guodong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wei, Guodong. Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies[J]. SCIENCE CHINA-MATHEMATICS,2021,64(4):781-798.
APA	Wei, Guodong.(2021).Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies.SCIENCE CHINA-MATHEMATICS,64(4),781-798.
MLA	Wei, Guodong."Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies".SCIENCE CHINA-MATHEMATICS 64.4(2021):781-798.