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On the existence of some types of LP-Sasakian manifolds

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The object of the present paper is to provide the existence of LP-Sasakian manifolds with η-recurrent, η-parallel, φ-recurrent, φ- parallel Ricci tensor with several non-trivial examples. Also generalized Ricci recurrent LP-Sasakian manifolds are studied with the existence of various examples

Abstract

The object of the present paper is to provide the existence of LP-Sasakian manifolds with η-recurrent, η-parallel, φ-recurrent, φ- parallel Ricci tensor with several non-trivial examples. Also generalized Ricci recurrent LP-Sasakian manifolds are studied with the existence of various examples

참고문헌 (8)

  1. U. C. De, "On generalized Ricci recurrent manifolds", Tensor N. S, 56, pp.312~317 (1995)
  2. U. C. De, "On Lorentzian para-Sasakian manifolds, Rendiconti del Seminario Mat", de Messina al, (3), pp.149~156 (1999)
  3. M. Kon, "Invariant submanifolds in Sasakian manifolds", Mathematische Annalen, 219, pp.277~290 (1976)
  4. K. Matsumoto, "On Lorentzian almost paracontact manifolds", Bull. of Yamagata Univ. Nat. Sci, 12, pp.151~156 (1989)
  5. I. Mihai, "On Lorentzian para-Sasakian manifolds", Korean J. Math. Sciences, 6, pp.1~13 (1999)
  6. I. Mihai, "On Lorentzian P-Sasakian manifold, Classical Analysis", pp.155~169 (1992), World Scientific Publi
  7. A. A. Shaikh, "Some results on LP-Sasakian manifolds", Bull. Math. Soc. Sci. Math. Rommanie Tome, 49(97), pp.197~205 (2006)
  8. A. A. Shaikh, "On LP-Sasakian manifolds", Bull. Malaysian Math. Sci. Soc, 27, pp.17~26 (2004)

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