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Bull. Korean Math. Soc. 2012; 49(4): 863-874
Printed July 1, 2012
https://doi.org/10.4134/BKMS.2012.49.4.863
Copyright © The Korean Mathematical Society.
On lightlike hypersurfaces of a GRW space-time
Tae Ho Kang
University of Ulsan
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.
Keywords: lightlike hypersurface, spacelike slice, generalized Robertson-Walker space-times, curvature invariance, totally umbilical second fundamental form, null sectional curvature, null Ricci curvature
MSC numbers: 53C25, 53C25
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