- International Electronic Journal of Geometry
- Vol: 15 Issue: 2
- STCR-Lightlike Product Manifolds of an Indefinite Kaehler Statistical Manifold with a Quarter Symmet...
STCR-Lightlike Product Manifolds of an Indefinite Kaehler Statistical Manifold with a Quarter Symmetric Non-Metric Connection
Authors : Vandana Rani, Jasleen Kaur
Pages : 229-241
Doi:10.36890/iejg.1130240
View : 6 | Download : 3
Publication Date : 2022-10-31
Article Type : Research
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