Title:
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On a generalized class of recurrent manifolds (English) |
Author:
|
Shaikh, Absos Ali |
Author:
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Patra, Ananta |
Language:
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English |
Journal:
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Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
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1212-5059 (online) |
Volume:
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46 |
Issue:
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1 |
Year:
|
2010 |
Pages:
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71-78 |
Summary lang:
|
English |
. |
Category:
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math |
. |
Summary:
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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:
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recurrent |
Keyword:
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generalized recurrent |
Keyword:
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conharmonically recurrent |
Keyword:
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hyper-generalized recurrent |
Keyword:
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generalized conharmonically recurrent |
Keyword:
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generalized Ricci recurrent manifold |
MSC:
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53B35 |
MSC:
|
53B50 |
idZBL:
|
Zbl 1240.53035 |
idMR:
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MR2644455 |
. |
Date available:
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2010-04-22T10:44:28Z |
Last updated:
|
2013-09-19 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/139996 |
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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:
|
[4] De, U. C., Guha, N., Kamilya, D.: On generalized Ricci recurrent manifolds.Tensor (N.S) 56 (1995), 312–317. Zbl 0859.53009, MR 1413041 |
Reference:
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Reference:
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Reference:
|
[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:
|
[9] Shaikh, A. A., Jana, S. K.: On weakly cyclic Ricci symmetric manifolds.Ann. Polon. Math. 89 (3) (2006), 273–288. Zbl 1169.53027, MR 2262554, 10.4064/ap89-3-4 |
Reference:
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Reference:
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Reference:
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Reference:
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