The structure of singly-periodic minimal surfaces (Q910007)
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: The structure of singly-periodic minimal surfaces |
scientific article; zbMATH DE number 4138673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of singly-periodic minimal surfaces |
scientific article; zbMATH DE number 4138673 |
Statements
The structure of singly-periodic minimal surfaces (English)
0 references
1990
0 references
The authors generalize Riemann's minimal surface by constructing an infinite family of properly embedded periodic minimal surfaces with an infinite number of (flat) ends. The symmetry is a group of translations, but the examples can be ``twisted'', so that it becomes screw motion. Conversely it is shown that a properly embedded minimal surface with more than one end and infinite symmetry group either is a catenoid, or it has infinitely many ends, and is invariant under a screw motion.
0 references
infinite number of ends
0 references
Riemann's minimal surface
0 references
embedded minimal surface
0 references
