| Title:
|
On generalized Douglas-Weyl Randers metrics (English) |
| Author:
|
Tabatabaeifar, Tayebeh |
| Author:
|
Najafi, Behzad |
| Author:
|
Rafie-Rad, Mehdi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
155-172 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize generalized Douglas-Weyl Randers metrics in terms of their Zermelo navigation data. Then, we study the Randers metrics induced by some important classes of almost contact metrics. Furthermore, we construct a family of generalized Douglas-Weyl Randers metrics which are not $R$-quadratic. We show that the Randers metric induced by a Kenmotsu manifold is a Douglas metric which is not of isotropic $S$-curvature. We show that the Randers metric induced by a Kenmotsu or Sasakian manifold is not Einsteinian. By using $D$-homothetic deformation of a Kenmotsu or Sasakian manifold, we construct a family of generalized Douglas-Weyl Randers metrics and show that the Lie group of projective transformations does not act transitively on the set of generalized Douglas-Weyl Randers metrics. (English) |
| Keyword:
|
generalized Douglas-Weyl metric |
| Keyword:
|
Randers metric |
| Keyword:
|
Kenmotsu manifold |
| Keyword:
|
Sasakian manifold |
| MSC:
|
53B40 |
| MSC:
|
53C60 |
| idZBL:
|
07332710 |
| idMR:
|
MR4226475 |
| DOI:
|
10.21136/CMJ.2020.0241-19 |
| . |
| Date available:
|
2021-03-12T16:12:10Z |
| Last updated:
|
2023-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148733 |
| . |
| Reference:
|
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