Totally Contact Umbilical Screen Transversal Lightlike Submanifolds of an Indefinite Sasakian Manifold

Abstract

In this paper, we study totally contact umbilical radical screen transversal and screen transversal anti-invariant lightlike submanifolds of an indefinite Sasakian manifold and obtain a geometric condition under which the induced connection nabla on a totally contact umbilical radical screen transversal lightlike submanifold is a metric connection. We prove a classification theorem for totally contact umbilical screen transversal anti-invariant lightlike submanifolds when the ambient space is an indefinite Sasakian manifold