| Title:
|
On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity (English) |
| Author:
|
Chand De, Uday |
| Author:
|
De, Avik |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
62 |
| Issue:
|
4 |
| Year:
|
2012 |
| Pages:
|
1055-1072 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The object of the present paper is to study almost pseudo-conformally symmetric Ricci-recurrent manifolds. The existence of almost pseudo-conformally symmetric Ricci-recurrent manifolds has been proved by an explicit example. Some geometric properties have been studied. Among others we prove that in such a manifold the vector field $\rho $ corresponding to the 1-form of recurrence is irrotational and the integral curves of the vector field $\rho $ are geodesic. We also study some global properties of such a manifold. Finally, we study almost pseudo-conformally symmetric Ricci-recurrent spacetime. We obtain the Segre' characteristic of such a spacetime. (English) |
| Keyword:
|
pseudo-conformally symmetric manifold |
| Keyword:
|
almost pseudo-conformally symmetric manifold |
| Keyword:
|
Ricci-recurrent manifold |
| Keyword:
|
Einstein field equations |
| Keyword:
|
Segre' characteristic |
| MSC:
|
53B15 |
| MSC:
|
53B20 |
| MSC:
|
53B30 |
| MSC:
|
53C15 |
| MSC:
|
53C25 |
| idZBL:
|
Zbl 1274.53049 |
| idMR:
|
MR3010256 |
| DOI:
|
10.1007/s10587-012-0063-0 |
| . |
| Date available:
|
2012-11-10T21:42:59Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143044 |
| . |
| Reference:
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