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 Geometry of half lightlike submanifolds of indefinite Kaehler manifolds with a quarter-symmetric metric connection Commun. Korean Math. Soc.Published online May 22, 2020 Garima Gupta and Rakesh Kumar Punjabi University, Patiala, India Abstract : We study totally umbilical half lightlike submanifolds of an indefinite Kaehler manifold with a quarter-symmetric metric connection. We obtain some conditions for a half lightlike submanifold of an indefinite Kaehler manifold with a quarter-symmetric metric connection to be a product manifold. We also derive the expression for induced Ricci type tensor $\mathcal{R}^{(0, 2)}$ of such a half lightlike submanifold and obtain conditions for $\mathcal{R}^{(0, 2)}$ to be symmetric. Keywords : Indefinite Kaehler manifold, Half lightlike submanifolds, Quarter-symmetric metric connection, Null sectional curvature, Induced Ricci type tensor MSC numbers : 53B15, 53C40, 53C50 Full-Text :