Lightlike hypersurfaces of an indefinite nearly trans-Sasakian manifold

Received: 16.V.2018, Accepted: 09.X.2018

Abstract. In this paper, we study lightlike hypersurfaces M of an indefinite nearly
trans-Sasakian manifold M or an indefinite nearly generalized Sasakian
space form M(f₁, f₂, f₃)  with a tangential trans-Sasakian structure
vector field ζ subject such that the induced structure tensor fields F
of M is recurrent, nearly recurrent or Lie recurrent, or
M itself is totally umbilical, screen totally umbilical or screen conformal.

Keywords: recurrent, nearly recurrent, Lie recurrent, lightlike hypersurface, indefinite nearly trans-Sasakian manifold

Mathematics Subject Classification (2010): 53C25, 53C40, 53C50