Kiliç E.Şahin B.2024-08-042024-08-0420081300-0098https://search.trdizin.gov.tr/yayin/detay/81301https://hdl.handle.net/11616/91062We 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. © TÜBİTAK.eninfo:eu-repo/semantics/closedAccessDegenerate metricLocally Riemannian productr-lightlike submanifoldSemi-Riemannian product manifoldArticle3244294492-s2.0-55749105685Q281301