Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature

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Abstract

We study lightlike hypersurfaces M of an indefinite Kaehler manifold of quasi-constant curvature subject to the condition that the characteristic vector field ζ of is tangent to M. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface M of such that

(1) the screen distribution S(TM) is totally umbilical or

(2) M is screen conformal.

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  • [1] C. Atindogbe K.L. Duggal: Conformal screen on lightlike hypersurfaces. International J. of Pure and Applied Math. 11 (4) (2004) 421–442.

  • [2] B.Y. Chen K. Yano: Hypersurfaces of a conformally flat space. Tensor (NS) 26 (1972) 318–322.

  • [3] K.L. Duggal A. Bejancu: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Kluwer Acad. Publishers Dordrecht (1996).

  • [4] K.L. Duggal D.H. Jin: A classification of Einstein lightlike hypersurfaces of a Lorentzian space form. J. Geom. Phys. 60 (2010) 1881–1889.

  • [5] D.H. Jin: Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold. Indian J. of Pure and Applied Math. 41 (4) (2010) 569–581.

  • [6] D.H. Jin: Lightlike real hypersurfaces with totally umbilical screen distributions. Commun. Korean Math. Soc. 25 (3) (2010) 443–450.

  • [7] G. de Rham: Sur la réductibilité d’un espace de Riemannian. Comm. Math. Helv. 26 (1952) 328–344.

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CiteScore 2018: 0.4

SCImago Journal Rank (SJR) 2018: 0.193
Source Normalized Impact per Paper (SNIP) 2018: 0.696

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researchers in all areas of pure and applied mathematics

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