| Title:
|
On Weakly $W_3$-Symmetric Manifolds (English) |
| Author:
|
Hui, Shyamal Kumar |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
50 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
53-71 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The object of the present paper is to study weakly $W_3$-symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly $W_3$-symmetric manifold both the decompositions are weakly Ricci symmetric. (English) |
| Keyword:
|
weakly $W_3$-symmetric manifold |
| Keyword:
|
$W_3$-curvature tensor |
| Keyword:
|
decomposable manifold |
| Keyword:
|
scalar curvature |
| Keyword:
|
totally umbilical hypersurfaces |
| Keyword:
|
totally geodesic |
| Keyword:
|
mean curvature |
| MSC:
|
53B05 |
| MSC:
|
53B35 |
| MSC:
|
53C15 |
| MSC:
|
53C25 |
| idZBL:
|
Zbl 1252.53020 |
| idMR:
|
MR2920699 |
| . |
| Date available:
|
2011-12-08T09:49:52Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141720 |
| . |
| Reference:
|
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