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We study screen transversal lightlike submanifolds of semi-Riemannian product manifolds. We give examples, investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these submanifolds to be metric connection. We also obtain characterization of screen transversal anti-invariant lightlike submanifolds.

RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS