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EXTENDED PSEUDO PROJECTIVE CURVATURE TENSOR ON (LCS)n-MANIFOLD

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This paper is a survey of certain properties of extended pseudo projective curvature tensor on (LCS)n-manifold. Here first we have studied that extended pseudo projective semi-symmetric and ex- tended pseudo projective pseudo-symmetric (LCS)n-manifold. More- over, we also describe an (LCS)n-manifold admitting Pe(ξ,U)·R = 0 and Pe(ξ,X)·Pe = 0.

Abstract

This paper is a survey of certain properties of extended pseudo projective curvature tensor on (LCS)n-manifold. Here first we have studied that extended pseudo projective semi-symmetric and ex- tended pseudo projective pseudo-symmetric (LCS)n-manifold. More- over, we also describe an (LCS)n-manifold admitting Pe(ξ,U)·R = 0 and Pe(ξ,X)·Pe = 0.

참고문헌 (12)

  1. C. S. Bagewadi, "On pseudo projective curvature tensor of a contact metric manifold", SUT J. Math, 43, pp.115~126 (2007)
  2. S. K. Hui, "Contact warped product semi-slant submanifolds of(LCS)n-manifolds", Acta Univ. Sapientiae Mathematica, 3(2), pp.212~224 (2011)
  3. K. Matsumoto, "On Lorentzian almost paracontact manifolds", Bull. Yamagata Univ. Natur. Soc., 12, pp.151~156 (1989)
  4. I. Mihai, "On Lorentzian para-Sasakian manifolds", pp.155~169 (1992), World Scienti c Pub-lication
  5. D. G. Prakasha, "On Ricci η-recurrent (LCS)n-manifolds", Acta Universitatis Apulensis, 24, pp.109~118 (2010)
  6. B. Prasad, "A pseudo projective curvature tensor on a Riemannian manifold", Bull. Cal. Math. Soc, 94(3), pp.163~166 (2002)
  7. Absos Ali Shaikh, "On Lorentzian Almost Paracontact Manifolds with a Structure of the Concircular Type", Kyungpook Mathematical Journal, 43(2), pp.305~314 (2003), 경북대학교 자연과학대학 수학과
  8. A.A. Shaikh, "On concircular structure spacetimes", J. Math. Stat., 1, pp.129~132 (2005)
  9. A. A. Shaikh, "On concircular structure spacetimes II", American J. Appl. Sci, 3(4), pp.1790~1794 (2006)
  10. A. A. Shaikh, "On the Existence of Φ-Recurrent(LCS)n-Manifolds", Extracta Mathematicae, 23(01), pp.71~83 (2008)
  11. A. A. Shaikh, "On invariant submanifolds of (LCS)n-manifolds", Journal of the Egyptian Mathematical Society, pp.1~7 (2015)
  12. Venkatesha, "Some Symmetric Properties on (LCS)n-manifolds", Kyungpook Mathematical Journal, 55(1), pp.149~156 (2015), 경북대학교 자연과학대학 수학과[DOI]

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