Communications of the
Korean Mathematical Society
CKMS
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ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2013; 28(2): 353-360
Printed April 1, 2013
https://doi.org/10.4134/CKMS.2013.28.2.353
Copyright © The Korean Mathematical Society.
Non-existence of totally geodesic screen distributions on lightlike hypersurfaces of indefinite Kenmotsu manifolds
Dae Ho Jin
Dongguk University
We study lightlike hypersurfaces of indefinite Kenmotsu manifolds. The purpose of this paper is to prove that there do not exist totally geodesic screen distributions on semi-symmetric lightlike hypersurfaces of indefinite Kenmotsu manifolds with flat transversal connection.
Keywords: screen totally geodesic, flat transversal connection, lightlike hypersurface, indefinite Kenmotsu manifold
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