Lightlike Hypersurfaces of an Indefinite Nearly Trans-Sasakian Manifold with an (l, m)-type Connection

Abstract

We study a lightlike hypersurface M of an indefinite nearly trans-Sasakian manifold (M) over bar with an (l, m)-type connection such that the structure vector field zeta of (M) over bar 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.