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 |
. |
Category:
|
math |
. |
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 |
. |
Date available:
|
2016-01-19T13:53:23Z |
Last updated:
|
2018-01-10 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144804 |
. |
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 |
. |