A new characterization of complete linear Weingarten hypersurfaces in real space forms (Q1951180)
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: A new characterization of complete linear Weingarten hypersurfaces in real space forms |
scientific article; zbMATH DE number 6168035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new characterization of complete linear Weingarten hypersurfaces in real space forms |
scientific article; zbMATH DE number 6168035 |
Statements
A new characterization of complete linear Weingarten hypersurfaces in real space forms (English)
0 references
29 May 2013
0 references
Linear Weingarten hypersurfaces are those whose normalized scalar curvature \(R\) and mean curvature \(H\) satisfy a linear relation of the form \(R=aH+b\) for some reals \(a,b\). This paper classifies complete linear Weingarten hypersurfaces in real space forms under some additional geometric and analytical assumptions.
0 references
space forms
0 references
linear Weingarten hypersurfaces
0 references
totally umbilical hypersurfaces
0 references
Clifford torus
0 references
circular cylinder
0 references
hyperbolic cylinder
0 references
0.9471171
0 references
0.9266192
0 references
0 references
0.9142179
0 references
0.91058403
0 references
0.90692264
0 references
0.9068555
0 references
0.9041263
0 references
0.9035586
0 references
0.90339893
0 references
