DOI QR코드

DOI QR Code

ON THE EXISTENCE OF SOME TYPES OF LP-SASAKIAN MANIFOLDS

  • Published : 2008.01.31

Abstract

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.

Keywords

References

  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

Cited by

  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