Contact screen transversal Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds

We study contact screen transversal Cauchy-Riemann (STCR)-lightlike submanifolds of in-definite 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.

Automated summary

This study focuses on STCR-lightlike submanifolds of indefinite Sasakian manifolds. Existence and non-existence theorems are proven, and the integrability conditions of various distributions are determined. Characterization theorems for a contact STCR-lightlike submanifold to be a STCR-lightlike product are derived, and some results for minimal contact STCR-lightlike submanifolds of indefinite Sasakian manifolds are found. Examples are also provided.