Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids - Collections

＜journal article＞
Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids

Creator	Creator Name Rossman, Wayne ラスマン, ウェイン
Creator	Creator Name Yasumoto, Masashi 安本, 真士ヤスモト, マサシ
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2012-10
Source Title	Journal of Math-for-Industry (JMI)
Vol	4
Issue	B
First Page	109
Last Page	118
Publication Type	Version of Record
Access Rights	open access
Related DOI	JMI ; 2012B-5
Related DOI	Journal of Math-for-Industry \|\| 4(B) \|\| p109-118
	JMI \|\| 4(B) \|\| p109-118
	http://gcoe-mi.jp/
Related URI	Journal of Math-for-Industry \|\| 4(B) \|\| p109-118
	JMI \|\| 4(B) \|\| p109-118
	http://gcoe-mi.jp/
Relation	JMI ; 2012B-5
	Journal of Math-for-Industry \|\| 4(B) \|\| p109-118
	JMI \|\| 4(B) \|\| p109-118
	http://gcoe-mi.jp/
Abstract	We give a Weierstrass type representation for semi-discrete minimal surfaces in Euclidean 3-space. We then give explicit parametrizations of various smooth, semi-discrete and fully-discrete catenoids,... determined from either variational or integrable systems principles. Finally, we state the shared properties that those various catenoids have.show more

File	FileType	Size	Views	Description
2012B-5	pdf	219 KB	161

Record ID	1397707
Peer-Reviewed	Refereed
Subject Terms	discrete differential geometry
	isothermic surfaces
	discrete surfaces
	semi-discrete surfaces
	minimal surfaces
	catenoids
	Weierstrass representation
ISSN	1884-4774
NCID	AA12444018
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	学術雑誌論文
Created Date	2014.01.07
Modified Date	2020.10.26