CATENOID LIMITS OF SINGLY PERIODIC MINIMAL SURFACES WITH SCHERK-TYPE ENDS

doi:10.2140/pjm.2023.325.11

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	CATENOID LIMITS OF SINGLY PERIODIC MINIMAL SURFACES WITH SCHERK-TYPE ENDS
	Chen, Hao1 ; Connor, Peter 2; Li, Kevin 3
	2023-07-01
发表期刊	PACIFIC JOURNAL OF MATHEMATICS
ISSN	0030-8730
EISSN	1945-5844
卷号	325 期号:1
发表状态	已发表
DOI	10.2140/pjm.2023.325.11
摘要	We construct families of embedded, singly periodic minimal surfaces of any genus g in the quotient with any even number 2n > 2 of almost parallel Scherk ends. A surface in such a family looks like n parallel planes connected by n - 1 + g small catenoid necks. In the limit, the family converges to an n-sheeted vertical plane with n - 1 + g singular points, termed nodes, in the quotient. For the nodes to open up into catenoid necks, their locations must satisfy a set of balance equations whose solutions are given by the roots of Stieltjes polynomials.
关键词	minimal surfaces saddle towers node opening
URL	查看原文
收录类别	SCI
语种	英语
资助项目	Deutsche Forschungsgemeinschaft[398759432]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:001076864300002
出版者	MATHEMATICAL SCIENCES PUBLISHERS
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/340924
专题	数学科学研究所数学科学研究所_PI研究组(P)_陈浩组
通讯作者	Chen, Hao
作者单位	1.ShanghaiTech Univ, Inst Math Sci, Pudong, Shanghai, Peoples R China 2.Indiana Univ South Bend, Dept Math Sci, South Bend, IN USA 3.Penn State Harrisburg, Sch Sci Engn & Technol, Harrisburg, PA USA
第一作者单位	数学科学研究所
通讯作者单位	数学科学研究所
第一作者的第一单位	数学科学研究所
推荐引用方式 GB/T 7714	Chen, Hao,Connor, Peter,Li, Kevin. CATENOID LIMITS OF SINGLY PERIODIC MINIMAL SURFACES WITH SCHERK-TYPE ENDS[J]. PACIFIC JOURNAL OF MATHEMATICS,2023,325(1).
APA	Chen, Hao,Connor, Peter,&Li, Kevin.(2023).CATENOID LIMITS OF SINGLY PERIODIC MINIMAL SURFACES WITH SCHERK-TYPE ENDS.PACIFIC JOURNAL OF MATHEMATICS,325(1).
MLA	Chen, Hao,et al."CATENOID LIMITS OF SINGLY PERIODIC MINIMAL SURFACES WITH SCHERK-TYPE ENDS".PACIFIC JOURNAL OF MATHEMATICS 325.1(2023).