A classification of Einstein lightlike hypersurfaces of a Lorentzian space form |
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Authors: | K.L. Duggal D.H. Jin |
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Affiliation: | 1. Department of Mathematics, University of Windsor, Windsor, Ontario N9B3P4, Canada;2. Department of Mathematics, Dongguk University, Kyongju, 780-714, Republic of Korea |
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Abstract: | We study Einstein lightlike hypersurfaces of a semi-Riemannian manifold of constant curvature c, whose shape operator is conformal to the shape operator of its screen distribution. Our main result is a classification theorem for Einstein lightlike hypersurfaces of Lorentzian space forms. |
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Keywords: | 53C40 53C25 53C50 |
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