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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.
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참고문헌 (9)
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
D. N. Kupeli / 1996 / Singular Semi-Riemannian Geometry, Mathematics and Its Applications, vol. 366 / Kluwer Acad. Publishers
G. de Rham / 1952 / Sur la reductibilit`e d’un espace de Riemann / Comment. Math. Helv. 26 : 328 ~ 344
K. L. Duggal / / A Classification of Einstein lightlike hypersurfaces of a Lorentzian space form / J. Geom. Phys.
C. Atindogbe / 2006 / Lightlike Einstein hypersurfaces in Lorentzian manifolds with constant curvature / Kodai Math. J. 29 (1) : 58 ~ 71
D. N. Kupeli / 1996 / Singular Semi-Riemannian Geometry, Mathematics and Its Applications, vol. 366 / Kluwer Acad. Publishers
G. de Rham / 1952 / Sur la reductibilit`e d’un espace de Riemann / Comment. Math. Helv. 26 : 328 ~ 344
K. L. Duggal / / A Classification of Einstein lightlike hypersurfaces of a Lorentzian space form / J. Geom. Phys.
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