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Commun. Korean Math. Soc. 2018; 33(1): 305-315
Online first article November 30, 2017 Printed January 31, 2018
https://doi.org/10.4134/CKMS.c170128
Copyright © The Korean Mathematical Society.
A note on lightlike hypersurfaces of a GRW space-time
Tae Ho Kang
University of Ulsan
This note provides a study of lightlike hypersurfaces of a generalized Robertson-Walker(GRW) space-time with a certain screen distribution, which are integrable and have good properties. Focus is to investigate geometric features from the relation of the second fundamental forms between lightlike hypersurfaces and leaves of the integrable screen distribution. Also, we shall apply those results on lightlike hypersurfaces of a GRW space-time to lightlike hypersurfaces of a Robertson-Walker(RW) space-time.
Keywords: lightlike hypersurface, spacelike slice, (generalized) Robertson-Walker space-times, totally umbilical, totally geodesic
MSC numbers: 53B25, 53C40, 53C50
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