The deformation of harmonic maps given by the Clifford tori (Q1392776)
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 deformation of harmonic maps given by the Clifford tori |
scientific article; zbMATH DE number 1180767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The deformation of harmonic maps given by the Clifford tori |
scientific article; zbMATH DE number 1180767 |
Statements
The deformation of harmonic maps given by the Clifford tori (English)
0 references
21 November 2000
0 references
The paper is devoted to the study of deformations of harmonic maps. Concretely, the author considers infinitesimal harmonic deformations of Clifford tori in the 3-sphere, which are important examples of harmonic maps of \(T^2\) into \(S^3\). In this paper, it is proved that except for two cases all infinitesismal harmonic deformations are integrable, that is, they generate harmonic deformations.
0 references
harmonic deformations
0 references
Clifford tori
0 references
\(3\)-sphere
0 references
