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Some results on LCS_n-manifolds

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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.

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.

참고문헌 (6)

  1. B. Y. Chen, "Hypersurfaces of a conformally flat space", Tensor, 26, pp.318~322 (1972)
  2. U. C. De, "On generalized Ricci-recurrent manifolds", Tensor, 56(3), pp.312~317 (1995)
  3. M. Kon, "Invariant submanifolds in Sasakian manifolds", Math. Ann., 219(3), pp.277~290 (1976)
  4. K. Matsumoto, "On Lorentzian paracontact manifolds", Bull. Yamagata Univ. Natur. Sci., 12(2), pp.151~156 (1989)
  5. B. O’ Neill, "Semi-Riemannian Geometry" (1983), Academic Press
  6. 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

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