Deformations of Lie groups and their application to surface theory (Q2779210)
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: Deformations of Lie groups and their application to surface theory |
scientific article; zbMATH DE number 1728048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Deformations of Lie groups and their application to surface theory |
scientific article; zbMATH DE number 1728048 |
Statements
15 April 2002
0 references
Wente tori
0 references
CMC tori
0 references
hyperbolic 3-space
0 references
CMC1 surfaces
0 references
Deformations of Lie groups and their application to surface theory (English)
0 references
The theory of deformations of Lie groups is used to study the existence of deformations of surfaces through various symmetric spaces. For example the existence of deformations of Wente tori to CMC tori in the 3-sphere is given as an application. Similarly, deformations and obstructions to deformations of minimal and CMC1 surfaces in hyperbolic 3-space are studied. New examples of CMC1 surfaces in hyperbolic 3-space are proved to exist.NEWLINENEWLINEFor the entire collection see [Zbl 0981.00018].
0 references
