STCR-Lightlike Product Manifolds of an Indefinite Kaehler Statistical Manifold with a Quarter Symmetric Non-Metric Connection

Authors : Vandana RANİ, Jasleen KAUR

Pages : 229-241

Doi:10.36890/iejg.1130240

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Publication Date : 2022-10-31

Article Type : Research Paper

Abstract :The present work aims to introduce a novel class of submanifolds, namely STCR-lightlike submanifolds, for an indefinite Kaehler statistical manifold with a quarter symmetric non-metric connection. The characterization theorems on totally umbilical and totally geodesic STCR-lightlike submanifolds with respect to the integrability of distributions have been established. Some conditions for a STCR-lightlike submanifold to be a STCR-lightlike product manifold have been derived.
Keywords : STCR lightlike submanifolds, indefinite Kaehler statistical manifold, totally geodesic foliation, integrability