Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Lightlike Hypersurfaces of an Indefinite Nearly Trans-Sasakian Manifold with an (ℓ, m)-type Connection

  • Lee, Chul Woo (Department of Mathematics, Kyungpook National University) ;
  • Lee, Jae Won (Department of Mathematics Education and RINS, Gyeongsang National University)
  • Received : 2020.02.14
  • Accepted : 2020.04.27
  • Published : 2020.06.30
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Abstract

We study a lightlike hypersurface M of an indefinite nearly trans-Sasakian manifold ${\bar{M}}$ with an (ℓ, m)-type connection such that the structure vector field ζ of ${\bar{M}}$ is tangent to M. In particular, we focus on such lightlike hypersurfaces M for which the structure tensor field F is either recurrent or Lie recurrent, or such that M itself is totally umbilical or screen totally umbilical.

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References

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