Gluing Karcher-Scherk saddle towers II: Singly periodic minimal surfaces

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	Gluing Karcher-Scherk saddle towers II: Singly periodic minimal surfaces
	Chen, Hao
	2024
发表期刊	COMMUNICATIONS IN ANALYSIS AND GEOMETRY (IF:0.7[JCR-2023],0.9[5-Year])
ISSN	1019-8385
EISSN	1944-9992
卷号	32 期号:9 页码:2583-2615
发表状态	已发表
摘要	["This is the second in a series of papers that construct minimal sur-faces by gluing singly periodic Karcher-Scherk saddle towers along their wings. This paper aims to construct singly periodic mini-mal surfaces with Scherk ends. As in the first paper, we prescribe phase differences between saddle towers, and obtain many new ex-amples without any horizontal reflection plane. This construction is not very different from previous ones, hence we will only provide sketched proofs.","We will however study the embeddedness with great care. Pre-viously, embeddedness can not be determined in the presence of \"parallel\" Scherk ends, as it was not clear if they bend towards or away from each other. In a recent study, the bending was completely ignored and embeddedness was falsely claimed. We correct this mistake by carefully analysing slight bendings, thus identify scenarios where the constructed surfaces are indeed embedded."]
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收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:001431928100006
出版者	INT PRESS BOSTON, INC
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/348009
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	ShanghaiTech Univ, Inst Math Sci, Shanghai 201210, Peoples R China
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. Gluing Karcher-Scherk saddle towers II: Singly periodic minimal surfaces[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY,2024,32(9):2583-2615.
APA	Chen, Hao.(2024).Gluing Karcher-Scherk saddle towers II: Singly periodic minimal surfaces.COMMUNICATIONS IN ANALYSIS AND GEOMETRY,32(9),2583-2615.
MLA	Chen, Hao."Gluing Karcher-Scherk saddle towers II: Singly periodic minimal surfaces".COMMUNICATIONS IN ANALYSIS AND GEOMETRY 32.9(2024):2583-2615.