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We provide a study of lightlike hypersurfaces of a generalized Robertson-Walker (GRW) space-time. In particular, we investigate lightlike hypersurfaces with curvature invariance, parallel second fundamental forms, totally umbilical second fundamental forms, null sectional curvatures and null Ricci curvatures, respectively.doi:10.4134/bkms.2012.49.4.863 fatcat:fhm3j45mtvayrpoptz5tfjco24