| Title:
|
Minimal Reeb vector fields on almost Kenmotsu manifolds (English) |
| Author:
|
Wang, Yaning |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
1 |
| Year:
|
2017 |
| Pages:
|
73-86 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A necessary and sufficient condition for the Reeb vector field of a three dimensional non-Kenmotsu almost Kenmotsu manifold to be minimal is obtained. Using this result, we obtain some classifications of some types of $(k,\mu ,\nu )$-almost Kenmotsu manifolds. Also, we give some characterizations of the minimality of the Reeb vector fields of $(k,\mu ,\nu )$-almost Kenmotsu manifolds. In addition, we prove that the Reeb vector field of an almost Kenmotsu manifold with conformal Reeb foliation is minimal. (English) |
| Keyword:
|
almost Kenmotsu manifold |
| Keyword:
|
Reeb vector field |
| Keyword:
|
minimal vector field |
| Keyword:
|
harmonic vector field |
| Keyword:
|
Lie group |
| MSC:
|
53C25 |
| MSC:
|
53C43 |
| MSC:
|
53D15 |
| idZBL:
|
Zbl 06738505 |
| idMR:
|
MR3632999 |
| DOI:
|
10.21136/CMJ.2017.0377-15 |
| . |
| Date available:
|
2017-03-13T12:05:40Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146041 |
| . |
| Reference:
|
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