| Title:
|
A short note on $f$-biharmonic hypersurfaces (English) |
| Author:
|
Perktaş, Selcen Y. |
| Author:
|
Acet, Bilal E. |
| Author:
|
Blaga, Adara M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
119-126 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper we give some properties of $f$-biharmonic hypersurfaces in real space forms. By using the $f$-biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the $f$-biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider $f$-biharmonic vertical cylinders in $S^{2}\times \mathbb{R}$. (English) |
| Keyword:
|
$f$-biharmonic maps |
| Keyword:
|
$f$-biharmonic hypersurface |
| MSC:
|
53C25 |
| MSC:
|
53C43 |
| MSC:
|
58E20 |
| idZBL:
|
Zbl 07217163 |
| idMR:
|
MR4093434 |
| DOI:
|
10.14712/1213-7243.2020.009 |
| . |
| Date available:
|
2020-04-30T11:23:54Z |
| Last updated:
|
2022-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148080 |
| . |
| Reference:
|
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