Kilic, ErolSahin, BayramKeles, Sadik2024-08-042024-08-0420111307-5624https://hdl.handle.net/11616/104080In this paper, we introduce a new class of ligtlike submanifold called screen semi- invariant (SSI) lightlike submanifolds of a semi Riemannian product manifold. We give examples of such submanifolds and study the geometry of leaves of distributions which are involved in the definition of SSI-lightlike submanifolds. We obtain, necessary and sufficient conditions for the SSI-lightlike submanifold to be locally product manifold. Finally, we give some characterizations for totally umbilical SSI-lightlike and screen anti-invariant lightlike submanifolds of semi-Riemannian product manifolds.eninfo:eu-repo/semantics/closedAccessDegenerate MetricLightlike SubmanifoldSCR-Lightlike SubmanifoldProduct ManifoldArticle42120135WOS:000439098800008N/A