Communications of the Korean Mathematical Society (대한수학회논문집)

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GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD

  • Jin, Dae-Ho (Department of Mathematics Dongguk University)
  • Received : 2010.08.31
  • Published : 2012.01.31
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Abstract

We study the geometry of lightlike hypersurfaces M of an inde nite cosymplectic manifold $\bar{M}$ such that either (1) the characterist vector field $\zeta$ of $\bar{M}$ belongs to the screen distribution S(TM) of M or (2) $\zeta$ belongs to the orthogonal complement $S(TM)^{\perp}$ of S(TM) in $T\bar{M}$.

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References

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  1. ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD vol.20, pp.1, 2013, https://doi.org/10.7468/jksmeb.2013.20.1.25
  2. Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms vol.2015, 2015, https://doi.org/10.1155/2015/259146
  3. INDEFINITE GENERALIZED SASAKIAN SPACE FORM ADMITTING A GENERIC LIGHTLIKE SUBMANIFOLD vol.51, pp.6, 2014, https://doi.org/10.4134/BKMS.2014.51.6.1711
  4. INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN LIGHTLIKE HYPERSURFACE vol.35, pp.4, 2013, https://doi.org/10.5831/HMJ.2013.35.4.657
  5. NON-EXISTENCE OF TOTALLY GEODESIC SCREEN DISTRIBUTIONS ON LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS vol.28, pp.2, 2013, https://doi.org/10.4134/CKMS.2013.28.2.353
  6. 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
  7. Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface vol.55, pp.4, 2015, https://doi.org/10.5666/KMJ.2015.55.4.1097
  8. 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
  9. Special Half Lightlike Submanifolds of an Indefinite Cosymplectic Manifold vol.2012, 2012, https://doi.org/10.1155/2012/636242