Browse > Article
http://dx.doi.org/10.5831/HMJ.2016.38.1.39

ON PSEUDO W4-SYMMETRIC MANIFOLDS  

Kim, Jaeman (Department of Mathematics Education, Kangwon National University)
Publication Information
Honam Mathematical Journal / v.38, no.1, 2016 , pp. 39-45 More about this Journal
Abstract
In this paper, we investigate several properties on a weakly symmetric structure on a Riemannian manifold.
Keywords
pseudo $W_4$-symmetric manifold; Einstein manifold; product manifold; second Bianchi identity for $W_4$-curvature tensor;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 A.L. Besse, Einstein Manifolds, Springer, Berlin (1987).
2 M.C. Chaki, On pseudo symmetric manifolds, Analele Stiint Univ. Al-I Cuza 33 (1987), 53-58.
3 M.C. Chaki, On generalized pseudo symmetric manifolds, Publ.Math.Debrecen 45 (1994), 305-312.
4 M.C. Chaki and U.C. De, On pseudo symmetric spaces, Acta Math.Hungar. 54 (1989), 185-190.   DOI
5 M.C. Chaki and S.P. Mondal, On generalized pseudo symmetric manifolds, Publ.Math.Debrecen 51 (1997), 35-42.
6 U.C. De and A.K. Gazi, On almost pseudo symmetric manifolds, Ann.Univ.Sci.Budapest Eotvos Sect.Math. 51 (2008), 53-68.
7 J. Kim, On $W_4$-birecurrent manifolds, Honam Mathematical J. 36 (2014), 723-730.   DOI
8 F. Ozen and S. Altay, On weakly and pseudo symmetric Riemannian spaces, Indian J.Pure Appl.Math. 33 (2001), 1477-1488.
9 G.P. Pokhariyal Curvature tensors and their relativistic significance III, Yokohama Math.J. 21 (1973), 115-119.