| Title:
|
On a generalized class of recurrent manifolds (English) |
| Author:
|
Shaikh, Absos Ali |
| Author:
|
Patra, Ananta |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
71-78 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example. (English) |
| Keyword:
|
recurrent |
| Keyword:
|
generalized recurrent |
| Keyword:
|
conharmonically recurrent |
| Keyword:
|
hyper-generalized recurrent |
| Keyword:
|
generalized conharmonically recurrent |
| Keyword:
|
generalized Ricci recurrent manifold |
| MSC:
|
53B35 |
| MSC:
|
53B50 |
| idZBL:
|
Zbl 1240.53035 |
| idMR:
|
MR2644455 |
| . |
| Date available:
|
2010-04-22T10:44:28Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/139996 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Arslan, K., De, U. C., Murathan, C., Yildiz, A.: On generalized recurrent Riemannian manifolds.Acta Math. Hungar. 123 (2009), 27–39. Zbl 1199.53166, MR 2496479, 10.1007/s10474-008-8049-y |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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[7] Miyazawa, T.: On Riemannian space admitting some recurrent tensor.TRU Math. J. 2 (1996), 11–18. MR 0222814 |
| Reference:
|
[8] Patterson, E. M.: Some theorems on Ricci recurrent spaces.J. London. Math. Soc. 27 (1952), 287–295. Zbl 0048.15604, MR 0048891, 10.1112/jlms/s1-27.3.287 |
| Reference:
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| Reference:
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[10] Tamássy, L., Binh, T. Q.: On weakly symmetric and weakly projective symmetric Riemannian manifolds.Colloq. Math. Soc. János Bolyai 56 (1989), 663–670. MR 1211691 |
| Reference:
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[11] Tamássy, L., Binh, T. Q.: On weak symmetries of Einstein and Sasakian manifolds.Tensor (N.S.) 53 (1993), 140–148. MR 1455411 |
| Reference:
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| Reference:
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| . |
