| Title:
|
$\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds (English) |
| Author:
|
Hui, Shyamal Kumar |
| Author:
|
Chakraborty, Debabrata |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2016 |
| Pages:
|
101-109 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The object of the present paper is to study $\eta $-Ricci solitons on $\eta $-Einstein $(LCS)_n$-manifolds. It is shown that if $\xi $ is a recurrent torse forming $\eta $-Ricci soliton on an $\eta $-Einstein $(LCS)_n$-manifold then $\xi $ is (i) concurrent and (ii) Killing vector field. (English) |
| Keyword:
|
$\eta $-Ricci soliton |
| Keyword:
|
$\eta $-Einstein manifold |
| Keyword:
|
$(LCS)_n$-manifold |
| MSC:
|
53B30 |
| MSC:
|
53C15 |
| MSC:
|
53C25 |
| idZBL:
|
Zbl 1365.53022 |
| . |
| Date available:
|
2017-03-16T12:47:49Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146064 |
| . |
| Reference:
|
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