4.4 Article

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

Journal

FILOMAT
Volume 37, Issue 16, Pages 5427-5441

Publisher

UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2316427P

Keywords

STCR-lightlike submanifolds; Indefinite Sasakian manifold; Minimal lightlike submanifolds

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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.
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.

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