Contact Screen Transversal Cauchy-Riemann Lightlike Submanifolds of Indefinite Sasakian Manifolds

Abstract

We present contact screen transversal Cauchy-Riemann (STCR)-lightlike
submanifolds of indefinite Sasakian manifolds. We prove existence and
non-existence theorems and find the integrability conditions of
integrability of various distributions. We derive some characterization
theorems for a contact STCR-lightlike submanifold to be a STCR-lightlike
product. Moreover, we find results for minimal contact STCR-lightlike
submanifolds of indefinite Sasakian manifolds. We also give examples.