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This note provides a study of lightlike hypersurfaces of a generalized Robertson-Walker(GRW) space-time with a certain screen distribution, which are integrable and have good properties. Focus is to investigate geometric features from the relation of the second fundamental forms between lightlike hypersurfaces and leaves of the integrable screen distribution. Also, we shall apply those results on lightlike hypersurfaces of a GRW space-time to lightlike hypersurfaces of a Robertson-Walker(RW) space-time.
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참고문헌 (10)
참고문헌 신청
C. Atindogbe / 2004 / Conformal screen on lightlike hypersurfaces / Int. J. Pure Appl. Math. 11(4):421~442
C. Atindogbe / 2006 / Lightlike Einstein hypersurfaces in Lorentzian manifolds with constant curvature / Kodai Math. J. 29(1):58~71
J. Dong / 2014 / Totally umbilical lightlike hypersurfaces in Robertson-Walker space-times / ISRN Geom. 10
K. L. Duggal / 1996 / Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications / Kluwer Academic Publishers
K. L. Duggal / 2005 / Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen / J. Geom. Phys. 55(1):107~122
C. Atindogbe / 2006 / Lightlike Einstein hypersurfaces in Lorentzian manifolds with constant curvature / Kodai Math. J. 29(1):58~71
J. Dong / 2014 / Totally umbilical lightlike hypersurfaces in Robertson-Walker space-times / ISRN Geom. 10
K. L. Duggal / 1996 / Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications / Kluwer Academic Publishers
K. L. Duggal / 2005 / Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen / J. Geom. Phys. 55(1):107~122
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