| Title:
|
Vanishing conharmonic tensor of normal locally conformal almost cosymplectic manifold (English) |
| Author:
|
Al-Hussaini, Farah H. |
| Author:
|
Rustanov, Aligadzhi R. |
| Author:
|
Abood, Habeeb M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
93-104 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of the present paper is to study the geometric properties of the conharmonic curvature tensor of normal locally conformal almost cosymplectic manifolds (normal LCAC-manifold). In particular, three conhoronic invariants are distinguished with regard to the vanishing conharmonic tensor. Subsequentaly, three classes of normal LCAC-manifolds are established. Moreover, it is proved that the manifolds of these classes are $ \eta $-Einstein manifolds of type $ (\alpha,\beta) $. Furthermore, we have determined $ \alpha $ and $ \beta $ for each class. (English) |
| Keyword:
|
normal locally conformal almost cosymplectic manifold |
| Keyword:
|
conharmonic curvature tensor |
| Keyword:
|
constant curvature |
| Keyword:
|
$ \eta $-Einstein manifold |
| MSC:
|
53B35 |
| MSC:
|
53C55 |
| idZBL:
|
Zbl 07217161 |
| idMR:
|
MR4093432 |
| DOI:
|
10.14712/1213-7243.2020.008 |
| . |
| Date available:
|
2020-04-30T11:21:03Z |
| Last updated:
|
2022-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148078 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
