| Title:
|
$f$-biminimal maps between Riemannian manifolds (English) |
| Author:
|
Zhao, Yan |
| Author:
|
Liu, Ximin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
893-905 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give the definition of $f$-biminimal submanifolds and derive the equation for $f$-biminimal submanifolds. As an application, we give some examples of $f$-biminimal manifolds. Finally, we consider $f$-minimal hypersurfaces in the product space $\mathbb {R}^{n}\times \mathbb {S}^{1}(a)$ and derive two rigidity theorems. (English) |
| Keyword:
|
variational vector field |
| Keyword:
|
hypersurface |
| Keyword:
|
$f$-biminimal submanifold |
| Keyword:
|
mean curvature vector |
| MSC:
|
53B25 |
| MSC:
|
53C40 |
| idZBL:
|
07144863 |
| idMR:
|
MR4039608 |
| DOI:
|
10.21136/CMJ.2019.0328-17 |
| . |
| Date available:
|
2019-11-28T08:45:34Z |
| Last updated:
|
2022-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147901 |
| . |
| Reference:
|
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