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SOME RESULTS ON (LCS)n-MANIFOLDS

  • Shaikh, Absos Ali (DEPARTMENT OF MATHEMATICS UNIVERSITY OF BURDWAN)
  • Published : 2009.05.01

Abstract

The object of the present paper is to study $(LCS)_n$-manifolds. Several interesting results on a $(LCS)_n$-manifold are obtained. Also the generalized Ricci recurrent $(LCS)_n$-manifolds are studied. The existence of such a manifold is ensured by several non-trivial new examples.

Keywords

(LCS)$_n$-manifold;conformally flat;generalized Ricci recurrent;$\eta$-Einstein;quasi constant curvature

References

  1. B. Y. Chen and K. Yano, Hypersurfaces of a conformally flat space, Tensor (N.S.) 26 (1972), 318–322
  2. U. C. De, N. Guha, and D. Kamilya, On generalized Ricci-recurrent manifolds, Tensor (N.S.) 56 (1995), no. 3, 312–317
  3. M. Kon, Invariant submanifolds in Sasakian manifolds, Math. Ann. 219 (1976), no. 3, 277–290 https://doi.org/10.1007/BF01354288
  4. K. Matsumoto, On Lorentzian paracontact manifolds, Bull. Yamagata Univ. Natur. Sci. 12 (1989), no. 2, 151–156
  5. B. O' Neill, Semi-Riemannian Geometry, Academic Press, New York, 1983
  6. A. A. Shaikh, On Lorentzian almost paracontact manifolds with a structure of the concircular type, Kyungpook Math. J. 43 (2003), no. 2, 305–314

Cited by

  1. SECOND ORDER PARALLEL TENSORS AND RICCI SOLITONS ON (LCS)n-MANIFOLDS vol.30, pp.2, 2015, https://doi.org/10.4134/CKMS.2015.30.2.123
  2. On φ-pseudo Symmetries of (LCS)n-Manifolds vol.53, pp.2, 2013, https://doi.org/10.5666/KMJ.2013.53.2.285
  3. Slant Submanifolds of (LCS)n-manifolds vol.54, pp.4, 2014, https://doi.org/10.5666/KMJ.2014.54.4.667
  4. On invariant submanifolds of ( LCS ) n -manifolds vol.24, pp.2, 2016, https://doi.org/10.1016/j.joems.2015.05.008
  5. Some Curvature Properties of -Manifolds vol.2013, 2013, https://doi.org/10.1155/2013/380657