Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps (Q2073247)
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: Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps |
scientific article; zbMATH DE number 7467751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps |
scientific article; zbMATH DE number 7467751 |
Statements
Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps (English)
0 references
1 February 2022
0 references
This paper is a study of complete space-like hypersurfaces of constant scalar curvature which are immersed in Lorentzian space forms. The authors obtain sharp inequalities on the total umbilicity tensor of such submanifolds and completely describe the submanifolds that realize these bounds.
0 references
Lorentzian space forms
0 references
space-like hypersurfaces
0 references
umbilicity tensor
0 references
Okumura inequality
0 references
Omori-Yau maximal principle
0 references
0 references
0 references
0 references
0 references
