ID | 54718 |
フルテキストURL | |
著者 |
Connor, Peter
Department of Mathematical Sciences, Indiana University South Bend
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抄録 | Most known examples of doubly periodic minimal surfaces in R3 with parallel ends limit as a foliation of R3 by horizontal noded planes, with the location of the nodes satisfying a set of balance equations. Conversely, for each set of points providing a balanced configuration, there is a corresponding three-parameter family of doubly periodic minimal surfaces. In this note we derive a differential equation that is equivalent to the balance equations for doubly periodic minimal surfaces. This allows for the generation of many more solutions to the balance equations, enabling the construction of increasingly complicated surfaces.
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キーワード | minimal surfaces
doubly periodic
balance equations
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発行日 | 2017-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 59巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 117
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終了ページ | 130
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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オフィシャル URL | http://www.math.okayama-u.ac.jp/mjou/
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言語 |
英語
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著作権者 | Copyright©2017 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol59/iss1/9
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JaLCDOI |