On Hopf hypersurfaces in a non-flat complex space form with \(\eta \)-recurrent Ricci tensor (Q988517)
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: On Hopf hypersurfaces in a non-flat complex space form with \(\eta \)-recurrent Ricci tensor |
scientific article; zbMATH DE number 5771803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Hopf hypersurfaces in a non-flat complex space form with \(\eta \)-recurrent Ricci tensor |
scientific article; zbMATH DE number 5771803 |
Statements
On Hopf hypersurfaces in a non-flat complex space form with \(\eta \)-recurrent Ricci tensor (English)
0 references
17 August 2010
0 references
It is well known that there are no real hypersurfaces \(M\) in \(M_n(c)\) with parallel Ricci tensor \(S\). If \(S\) is \(\eta\)-parallel and of constant mean curvature, a classification of Hopf hypersurfaces was obtained by \textit{C. Baikoussis, S. M. Lyu} and \textit{Y. J. Suh} [Math. J. Toyama Univ. 23, 41--61 (2000; Zbl 1032.53046)]. In this paper, the authors study the same problem without the constancy assumption on the mean curvature.
0 references
complex space form
0 references
Hopf hypersurfaces
0 references
\(\eta\)-recurrent Ricci tensor
0 references
0.97030705
0 references
0.9554143
0 references
0.9481806
0 references
0.93639004
0 references
0.92279345
0 references
