Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature (Q1587382)
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: Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature |
scientific article; zbMATH DE number 1533115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature |
scientific article; zbMATH DE number 1533115 |
Statements
Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature (English)
0 references
20 November 2000
0 references
For an isometric immersion \(f\) of a flat torus into the unit 3-sphere, is shown that if the mean curvature of \(f\) is not constant, then the immersion \(f\) admits a nontrivial isometric deformation preserving the total mean curvature.
0 references
mean curvature
0 references
flat torus
0 references
isometric deformation
0 references
0.9376324
0 references
0.9171479
0 references
0 references
0.90650225
0 references
0.9048758
0 references
0.8949232
0 references