The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD

  • Jin, Dae-Ho (Department of Mathematics, Dongguk University)
  • Received : 2011.03.15
  • Accepted : 2011.05.16
  • Published : 2011.05.31
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Abstract

We study half lightlike submanifolds of an indefinite Sasakian manifold. The aim of this paper is to prove the following result: If a locally symmetric half lightlike submanifold of an indefinite Sasakian manifold is totally umbilical, then it is of constant positive curvature 1. In addition to this result, we prove three characterization theorems for such a half lightlike submanifold.

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References

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  2. INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN HALF LIGHTLIKE SUBMANIFOLD vol.29, pp.3, 2014, https://doi.org/10.4134/CKMS.2014.29.3.451
  3. HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD vol.51, pp.4, 2014, https://doi.org/10.4134/BKMS.2014.51.4.979
  4. NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS vol.30, pp.1, 2015, https://doi.org/10.4134/CKMS.2015.30.1.035
  5. NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE COSYMPLECTIC MANIFOLD vol.20, pp.2, 2013, https://doi.org/10.7468/jksmeb.2013.20.2.89
  6. TWO CHARACTERIZATION THEOREMS FOR HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU MANIFOLD vol.21, pp.1, 2014, https://doi.org/10.7468/jksmeb.2014.21.1.1