3-dimensional submanifolds of spheres with parallel mean curvature vector (Q2367075)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 3-dimensional submanifolds of spheres with parallel mean curvature vector |
scientific article |
Statements
3-dimensional submanifolds of spheres with parallel mean curvature vector (English)
0 references
30 August 1993
0 references
The authors give a pinching condition on the Ricci curvature under which a 3-dimensional complete submanifold with parallel mean curvature vector in the standard sphere \(S^{3+p}(c)\) is a small sphere.
0 references
pinching condition
0 references
Ricci curvature
0 references
parallel mean curvature vector
0 references
