Minimal surfaces bordered by four lines (Q1355439)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Minimal surfaces bordered by four lines |
scientific article; zbMATH DE number 1013767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal surfaces bordered by four lines |
scientific article; zbMATH DE number 1013767 |
Statements
Minimal surfaces bordered by four lines (English)
0 references
27 May 1997
0 references
This article is part of the authors thesis (Université Paris VII, 1992). The purpose is to contribute to the classification problem for doubly periodic embedded minimal surfaces in Euclidean space. The author proves that, among embedded minimal surfaces bounded by four vertical lines passing through the vertices of a horizontal parallelogram, Scherk and Karcher surfaces are characterized by their asymptotic behaviour.
0 references
Scherk minimal surface
0 references
Karcher minimal surface
0 references
Alexandrov reflection principle
0 references
embedded minimal surfaces
0 references
0 references
0.7762306332588196
0 references
0.7727768421173096
0 references
0.7655726671218872
0 references
0.7650913000106812
0 references
