Kilic, ErolSahin, Bayram2024-08-042024-08-0420081300-00981303-6149https://hdl.handle.net/11616/103970We introduce radical anti-invariant lightlike submanifolds of a semi Riemannian product manifold and give examples. After we obtain the conditions of integrability of distributions which are involved in the definition of radical anti-invariant lightlike submanifolds, we investigate the geometry of leaves of distributions. We also obtain the induced connection is a metric connection and a radical anti-invariant lightlike submanifold is a product. manifold under certain conditions. Finally, we study totally umbilical radical anti-invariant lightlike submanifolds and observe that they are totally geodesic under a condition.eninfo:eu-repo/semantics/closedAccessDegenerate MetricSemi-Riemannian Product Manifoldr-Lightlike SubmanifoldLocally Riemannian ProductArticle324429449WOS:000261582800005N/A