ID | 54718 |
FullText URL | |
Author |
Connor, Peter
Department of Mathematical Sciences, Indiana University South Bend
|
Abstract | 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.
|
Keywords | minimal surfaces
doubly periodic
balance equations
|
Published Date | 2017-01
|
Publication Title |
Mathematical Journal of Okayama University
|
Volume | volume59
|
Issue | issue1
|
Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
Start Page | 117
|
End Page | 130
|
ISSN | 0030-1566
|
NCID | AA00723502
|
Content Type |
Journal Article
|
Official Url | http://www.math.okayama-u.ac.jp/mjou/
|
language |
English
|
Copyright Holders | Copyright©2017 by the Editorial Board of Mathematical Journal of Okayama University
|
File Version | publisher
|
Refereed |
True
|
Submission Path | mjou/vol59/iss1/9
|
JaLCDOI |