대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제23권1호
  • /
  • Pages.95-110
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  • 2008
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE EXISTENCE OF SOME TYPES OF LP-SASAKIAN MANIFOLDS

  • 발행 : 2008.01.31
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초록

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

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참고문헌

  1. U. C. De, N. Guha, and D. Kamilya, On generalized Ricci recurrent manifolds, Tensor, N. S. 56 (1995), 312-317
  2. U. C. De, K. Matsumoto, and A. A. Shaikh, On Lorentzian para-Sasakian manifolds, Rendiconti del Seminario Mat. de Messina, al n. 3 (1999), 149-156
  3. M. Kon, Invariant submanifolds in Sasakian manifolds, Mathematische Annalen, 219 (1976), 277-290 https://doi.org/10.1007/BF01354288
  4. K. Matsumoto, On Lorentzian almost paracontact manifolds, Bull. of Yamagata Univ. Nat. Sci. 12 (1989), 151-156
  5. I. Mihai, U. C. De, and A. A. Shaikh, On Lorentzian para-Sasakian manifolds, Korean J. Math. Sciences 6 (1999), 1-13
  6. I. Mihai and R. Rosca, On Lorentzian P-Sasakian manifold, Classical Analysis, World Scientific Publi., Singapore (1992), 155-169
  7. A. A. Shaikh and K. K. Baishya, Some results on LP-Sasakian manifolds, Bull. Math. Soc. Sci. Math. Rommanie Tome 49 (97) (2006), no. 2, 197-205
  8. A. A. Shaikh and S. Biswas, On LP-Sasakian manifolds, Bull. Malaysian Math. Sci. Soc. 27 (2004), 17-26

피인용 문헌

  1. On generalized ϕ-recurrent LP-Sasakian Manifolds vol.23, pp.1, 2015, https://doi.org/10.1016/j.joems.2013.12.019
  2. ON M-Projectively Flat LP-Sasakian Manifolds vol.65, pp.11, 2014, https://doi.org/10.1007/s11253-014-0895-x