| Title:
|
On Almost Pseudo-Z-symmetric Manifolds (English) |
| Author:
|
De, Uday Chand |
| Author:
|
Pal, Prajjwal |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
25-43 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The object of the present paper is to study almost pseudo-Z-symmetric manifolds. Some geometric properties have been studied. Next we consider conformally flat almost pseudo-Z-symmetric manifolds. We obtain a sufficient condition for an almost pseudo-Z-symmetric manifold to be a quasi Einstein manifold. Also we prove that a totally umbilical hypersurface of a conformally flat $A(PZS)_{n}$ ($n>3$) is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained in Section 5. (English) |
| Keyword:
|
pseudo symmetric manifolds |
| Keyword:
|
pseudo Ricci symmetric manifolds |
| Keyword:
|
almost pseudo Ricci symmetric manifolds |
| Keyword:
|
almost pseudo-Z-symmetric manifolds |
| Keyword:
|
conformally flat almost pseudo-Z-symmetric manifolds |
| MSC:
|
53C25 |
| idZBL:
|
Zbl 1312.53065 |
| idMR:
|
MR3331069 |
| . |
| Date available:
|
2014-09-01T07:55:43Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143914 |
| . |
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