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Title: Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection (English)
Author: Venkatesha, Vishnuvardhana S.V.
Language: English
Journal: Communications in Mathematics
ISSN: 1804-1388
Volume: 23
Issue: 2
Year: 2015
Pages: 163-169
Summary lang: English
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Category: math
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Summary: In the present paper we have obtained the necessary condition for the existence of almost pseudo symmetric and almost pseudo Ricci symmetric Sasakian manifold admitting a type of quarter symmetric metric connection. (English)
Keyword: Almost pseudo symmetric manifold
Keyword: pseudo Ricci symmetric manifold
Keyword: almost pseudo Ricci symmetric manifold
Keyword: quarter-symmetric metric connection
MSC: 53C05
MSC: 53C15
MSC: 53D10
idZBL: Zbl 1339.53024
idMR: MR3436683
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Date available: 2016-01-19T13:53:23Z
Last updated: 2018-01-10
Stable URL: http://hdl.handle.net/10338.dmlcz/144804
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Reference: [1] Blair, D.E.: Contact manifolds in Riemannian geometry.1976, Springer-Verlag, Berlin, Lecture Notes in Mathematics, 509. Zbl 0319.53026, MR 0467588
Reference: [2] Cartan, E.: Sur une classe remarquable d'espaces de Riemann.Soc. Math., France, 54, 1926, 214-264, MR 1504900, 10.24033/bsmf.1105
Reference: [3] Chaki, M.C.: On pseudo symmetric manifolds.Analele Stiint, Univ.Al-I. Cuza, 33, 1987, 53-58, Zbl 0634.53012, MR 0925690
Reference: [4] Chaki, M.C.: On pseudo Ricci symmetric manifolds.Bulg. J. Phys., 15, 1988, 526-531, Zbl 0689.53011, MR 1028590
Reference: [5] Chaki, M.C., Kawaguchi, T.: On almost pseudo Ricci symmetric manifolds.Tensor N. S., 68, 2007, 10-14, Zbl 1193.53099, MR 2363663
Reference: [6] De, A.: On almost pseudo symmetric manifolds admitting a type of semi-symmetric non-metric connection.Acta Math. Hungar., 125, 2009, 183-190, Zbl 1224.53055, MR 2564429, 10.1007/s10474-009-9002-4
Reference: [7] De, U.C., De, A.: On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity.Czechoslovak Mathematical Journal, 62, 2012, 1055-1072, Zbl 1274.53049, MR 3010256, 10.1007/s10587-012-0063-0
Reference: [8] De, U.C., Gazi, A.K.: On almost pseudo symmetric manifolds.Ann. Univ. Sci. Budap., 51, 2008, 53-68, Zbl 1224.53056, MR 2567494
Reference: [9] De, U.C., Gazi, A.K.: On almost pseudo conformally symmetric manifolds.Demonstratio Mathematica, 4, 2009, 861-878, Zbl 1184.53034, MR 2588986
Reference: [10] De, U.C., Mallick, S.: On almost pseudo concircularly symmetric manifolds.The Journal of Mathematics and Computer Science, 4, 3, 2012, 317-330, MR 2588986
Reference: [11] De, U.C., Pal, P.: On Almost Pseudo-Z-symmetric Manifolds.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 53, 1, 2014, 25-43, Zbl 1312.53065, MR 3331069
Reference: [12] De, U.C., Sengupta, J.: Quarter-symmetric metric connection on a Sasakian manifold.Commun. Fac. Sci. Univ. Ank. Series A1., 49, 2000, 7-13, Zbl 1025.53013, MR 1841733
Reference: [13] Hui, S.K., Zengin, F.O.: On almost pseudo concircular Ricci symmetric manifolds.Boletin de la Asociacion Matematica Venezolana, 1, 2012, 57-69, Zbl 1370.53017, MR 3284682
Reference: [14] Olszak, K., Olszak, Z.: On pseudo-riemannian manifolds with recurrent concircular curvature tensor.Acta Mathematica Hungar., 137, 1-2, 2012, 64-71, Zbl 1299.53110, MR 2966979, 10.1007/s10474-012-0216-5
Reference: [15] Sasaki, S.: Lecture notes on almost contact manifolds, part 1.1975, Tohoku University,
Reference: [16] Shaikh, A.A., Hui, S.K., Bagewadi, C.S.: On Quasi-Conformally Flat Almost Pseudo Ricci Symmetric Manifolds.Tamsui Oxford Journal of Mathematical Sciences, 26, 2, 2010, 203-219, Zbl 1225.53016, MR 2742249
Reference: [17] Szabo, Z.I.: Structure theorems on riemannian spaces satisfying $R(X,Y)R=0$.Journal of Differential Geometry, 17, 1982, 531-582, Zbl 0508.53025, MR 0683165, 10.4310/jdg/1214437486
Reference: [18] Tamassy, L., Binh, T.Q.: On weakly symmetric and weakly projectively symmetric riemannian manifolds.Colloquia Mathematica Societatis Janos Bolyai, 56, 1989, 663-670, MR 1211691
Reference: [19] Tamassy, L., Binh, T.Q.: On weak symmetries of Einstein and Sasakian manifolds.Tensor, 53, 1993, 140-148, International Conference on Differential Geometry and its Applications (Bucharest, 1992). Zbl 0849.53038, MR 1455411
Reference: [20] Walker, A.G.: On ruse's space of recurrent curvature.Proceedings of the London Mathematical Society, 52, 1951, 36-64,
Reference: [21] Yilmaz, H.B.: On Decomposable Almost Pseudo Conharmonically Symmetric Manifolds.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 51, 1, 2012, 111-124, Zbl 1273.53010, MR 3060013
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