Geometry of lightlike hypersurfaces of an indefinite cosymplectic manifold
Commun. Korean Math. Soc. 2012 Vol. 27, No. 1, 185-195
https://doi.org/10.4134/CKMS.2012.27.1.185
Printed March 1, 2012
Dae Ho Jin
Dongguk University
Abstract : We study the geometry of lightlike hypersurfaces $M$ of an indefinite cosymplectic manifold $\bar{M}$ such that either (1) the characteristic vector field $\zeta$ of $\bar{M}$ belongs to the screen distribution $S(TM)$ of $M$ or (2) $\zeta$ belongs to the orthogonal complement $S(TM)^{\bot}$ of $S(TM)$ in $T\bar{M}$.
Keywords : totally umbilical, screen conformal, tangential and ascreen lightlike hypersurfaces, indefinite cosymplectic manifold
MSC numbers : Primary 53C25, 53C40, 53C50
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