Lightlike Hypersurfaces of an Indefinite Nearly Trans-Sasakian Manifold with an (l,m)-type Connection
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We study a lightlike hypersurface M of an indefinite nearly trans-Sasakian manifold ¯M with an (l,m)-type connection such that the structure vector field ζ of ¯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
Abstract
We study a lightlike hypersurface M of an indefinite nearly trans-Sasakian manifold ¯M with an (l,m)-type connection such that the structure vector field ζ of ¯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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