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Commun. Korean Math. Soc. 2010; 25(2): 225-234
Printed June 1, 2010
https://doi.org/10.4134/CKMS.2010.25.2.225
Copyright © The Korean Mathematical Society.
Screen conformal Einstein lightlike hypersurfaces of a Lorentzian space form
Dae Ho Jin
Dongguk University
In this paper, we study the geometry of lightlike hypersurfaces of a semi-Riemannian manifold. We prove a classification theorem for Einstein lightlike hypersurfaces $M$ of a Lorentzian space form subject such that the second fundamental forms of $M$ and its screen distribution $S(TM)$ are conformally related by some non-vanishing smooth function.
Keywords: Einstein lightlike hypersurfaces, screen conformal, Lorentzian space forms
MSC numbers: Primary 53C25, 53C40, 53C50
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