| Title:
             | 
On Decomposable Almost Pseudo Conharmonically Symmetric Manifolds (English) | 
| Author:
             | 
Yilmaz, Hülya Bağdatlı | 
| Language:
             | 
English | 
| Journal:
             | 
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica | 
| ISSN:
             | 
0231-9721 | 
| Volume:
             | 
51 | 
| Issue:
             | 
1 | 
| Year:
             | 
2012 | 
| Pages:
             | 
111-124 | 
| Summary lang:
             | 
English | 
| . | 
| Category:
             | 
math | 
| . | 
| Summary:
             | 
The object of the present paper is to study decomposable almost pseudo conharmonically symmetric manifolds. (English) | 
| Keyword:
             | 
almost pseudo conharmonically symmetric manifold | 
| Keyword:
             | 
decomposable manifold | 
| Keyword:
             | 
scalar curvature | 
| Keyword:
             | 
torse-forming vector field | 
| MSC:
             | 
53B20 | 
| MSC:
             | 
53C15 | 
| MSC:
             | 
53C20 | 
| idZBL:
             | 
Zbl 06204925 | 
| idMR:
             | 
MR3060013 | 
| . | 
| Date available:
             | 
2012-06-25T08:27:41Z | 
| Last updated:
             | 
2014-03-12 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/142878 | 
| . | 
| Reference:
             | 
[1] Abussattar, D. B.: On conharmonic transformations in general relativity. Bulletin of the Calcutta Mathematical Society 41 (1966), 409–416. | 
| Reference:
             | 
[2] Adati, T., Miyazawa, T.: On Riemannian space with recurrent conformal curvature. Tensor, N.S. 18 (1967), 348–354. MR 0215251 | 
| Reference:
             | 
[3] Chaki, M. C.: On pseudo symmetric manifolds. Analele Stiint, Univ. AI-I. Cuza 33 (1987), 53–58. Zbl 0634.53012, MR 0925690 | 
| Reference:
             | 
[4] Chaki, M. C., Gupta, B.: On conformally symmetric spaces. Indian J. Math. 5 (1963), 113–122. Zbl 0122.39902, MR 0163255 | 
| Reference:
             | 
[5] De, U. C., Biswas, H. A.: On pseudo-conformally symmetric manifolds. Bull. Calcutta Math. Soc. 85, 5 (1993), 479–486. Zbl 0821.53018, MR 1326445 | 
| Reference:
             | 
[6] De, U. C., Gazi, A. K.: On almost pseudo symmetric manifolds. Ann. Univ. Sci., Budapest. Eötvös, Sect. Math. 51 (2008), 53–68. Zbl 1224.53056, MR 2567494 | 
| Reference:
             | 
[7] De, U. C., Gazi, A. K.: On almost pseudo conformally symmetric manifolds. Demonstratio Math. 42, 4 (2009), 861–878. Zbl 1184.53034, MR 2588986 | 
| Reference:
             | 
[8] Deszcz, R.: On pseudo symmetric spaces. Bull. Belg. Math. Soc., Serie A 44 (1992), 1–34. | 
| Reference:
             | 
[9] Ficken, F. A.: The Riemannian and affine differential geometry of product spaces. Annals of Math. 40 (1939), 892–913. Zbl 0023.37701, MR 0000531, 10.2307/1968900 | 
| Reference:
             | 
[10] Ghosh, S., De, U. C., Taleshian, A.: Conharmonic curvature tensor on $N(K)$-contact metric manifolds. International Scholarly Research Network, ISRN Geometry, doi: 10.5402/2011/423798. Zbl 1226.53029 | 
| Reference:
             | 
[11] Ishii, Y.: On conharmonic transformations. Tensor, N.S. 7 (1957), 73–80. Zbl 0079.15702, MR 0102837 | 
| Reference:
             | 
[12] Mikeš, J.: Projective-symmetric and projective-recurrent affinely connected spaces. Tr. Geom. Semin. 13 (1981), 61–62 (in Russian). | 
| Reference:
             | 
[13] Mikeš, J.: Geodesic mappings of special Riemannian spaces. Colloq. Math. Soc. Janos Bolyai 46 (1988), 793–813 MR 0933875 | 
| Reference:
             | 
[14] Mikeš, J.: Geodesic mappings of affine-connected and Riemannian spaces. J. Math. Sci. 78 (1996), 311–333. MR 1384327, 10.1007/BF02365193 | 
| Reference:
             | 
[15] Rachůnek, L., Mikeš, J.: On tensor fields semiconjugated with torse-forming vector fields. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 44 (2005), 151–160. Zbl 1092.53016, MR 2218574 | 
| Reference:
             | 
[16] Schouten, J. A.: Ricci Calculus. Spinger, Berlin, 1954. Zbl 0057.37803 | 
| Reference:
             | 
[17] Shaikh, A. A., Hui, S. K.: On weakly conharmonically symmetric manifolds. Tensor, N.S. 70 (2008), 119–134. Zbl 1193.53115, MR 2546909 | 
| Reference:
             | 
[18] Siddiqui, S. A., Ahsan, Z.: Conharmonic curvature tensor and the space-time general relativity. Differential Geometry, Dynamical Systems 12 (2010), 213–220. MR 2606561 | 
| Reference:
             | 
[19] Soos, G.: Über die geodätischen Abbildungen von Riemannschen Räumen auf projektivsymmetrische Riemannsche Räume. Acta Math. Acad. Sci. Hungar. 9 (1958), 359–361. MR 0101529, 10.1007/BF02020266 | 
| Reference:
             | 
[20] Tamássy, L., Binh, T. Q.: On weakly symmetric and weakly projective symmetric Riemannian manifolds. Colloq. Math. Soc. J. Bolyai, Differential geometry and its applications (Eger, 1989) 56 (1992), 663–670. Zbl 0791.53021, MR 1211691 | 
| Reference:
             | 
[21] Walker, A. G.: On Ruse’s spaces of recurrent curvature. Proc. London Math. Soc. 52, 2 (1950), 36–64. Zbl 0039.17702, MR 0037574 | 
| Reference:
             | 
[22] Yano, K.: On the torse-forming directions in Riemannian spaces. Proc. Imp. Acad. Tokyo 20 (1944), 340–345. Zbl 0060.39102, MR 0014777 | 
| Reference:
             | 
[23] Yano, K., Kon, M.: Structure on Manifolds. World Scientific, Singapore, 1986. | 
| . |