Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2014; 29(2): 295-310

Printed April 1, 2014

https://doi.org/10.4134/CKMS.2014.29.2.295

Copyright © The Korean Mathematical Society.

On lightlike submanifolds of a GRW space-time

Tae Ho Kang

University of Ulsan

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This paper provides a study of lightlike submanifolds of a generalized Robertson-Walker (GRW) space-time. In particular, we investigate lightlike submanifolds with curvature invariance, parallel second fundamental forms, totally umbilical second fundamental forms, null sectional curvatures and null Ricci curvatures, respectively.

Keywords: lightlike submanifold, spacelike slice, generalized Robertson-Walker space-time, curvature invariance, totally umbilical second fundamental form, null sectional curvature, null Ricci curvature

MSC numbers: 53C25, 53C25

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