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ON PSEUDO W4-SYMMETRIC MANIFOLDS

  • Kim, Jaeman (Department of Mathematics Education, Kangwon National University)
  • Received : 2015.08.03
  • Accepted : 2015.12.16
  • Published : 2016.03.25

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

References

  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. https://doi.org/10.1007/BF01952047
  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. https://doi.org/10.5831/HMJ.2014.36.4.723
  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.