Submanifolds with constant scalar curvature in a space form (Q335437)
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: Submanifolds with constant scalar curvature in a space form |
scientific article; zbMATH DE number 6646923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Submanifolds with constant scalar curvature in a space form |
scientific article; zbMATH DE number 6646923 |
Statements
Submanifolds with constant scalar curvature in a space form (English)
0 references
2 November 2016
0 references
The authors consider submanifolds \(M\) immersed with parallel normalized mean curvature vector field in a Riemannian space form \(Q\). They obtain (1) a Simons-type formula for the Laplacian of the second fundamental form \(A\) of \(M\) and (2) an Omori-type maximum principle for an elliptic operator \(\square\) introduced here. Using these results they characterize submanifolds as above which have, moreover, constant normalized scalar curvature.
0 references
space form
0 references
submanifold
0 references
mean curvature
0 references
scalar curvature
0 references
0.97965485
0 references
0.97965485
0 references
0.97965485
0 references
0.97483647
0 references
0.9705644
0 references
0.9705644
0 references
0.96903074
0 references
0.9633654
0 references
