LIGHTLIKE HYPERSURFACES WITH PARALLEL SCREEN SHAPE OPERATOR

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  • [1] Cyriaque Atindogbe and Duggal, Krishan L., Conformal screen on lightlike hypersurfaces. Int. J. of Pure and Applied Math., 11(2004), 421-442.
  • [2] Cyriaque A., Mahamane Mahi H. and Jo¨el T., Lightlike Hypersurfaces in Lorentzian mani- folds with constant screen principal curvatures. Afr. Diaspora J. Math, 16 (2014), no 2, pp 31-45.
  • [3] Cyriaque A, Ezin J-P. and Jo¨el T., Lightlike Einstein hypersurfaces in Lorentzian Manifolds with constant curvature. Kodai Math. Journal, vol. 29 No. 1, (2006) 58-71.
  • [4] Bejancu A., Ferradez A. and Lucas P., A new viewpoint on geometry of lightlike hypersurfaces in a semi-Euclidean space. Saitama Math. J. 16 (1998),31-38.
  • [5] Cartan E., Familles de surfaces isoparametriques dans les espaces a courbure constante, Ann. Mat. Pura IV 17, (1938) 177-191.
  • [6] Cartan E., Sur quelques familles remarquables d’hypersurfaces, C. R. Congr´es Math. Li´ege (1939) 30-41; Oeuvres compl`etes Tome III, Vol. 2, 1481-1492.
  • [7] Chen B. Y., Geometry of submanifolds. Pure and Applied Mathematics, New York, DeKKer (1973).
  • [8] de Rham G., Sur la r´eductibilit´e d’un espace de Riemann, Comment. Math. Helv. 268, (1952) 328-344.
  • [9] Duggal, Krishan L. and Bejancu, A, Lightlike submanifolds of semi-Riemannian Manifolds and Applications. Kluwer Acad. Publishers, Dordrecht, volume 364, 1996.
  • [10] Duggal, Krishan L. and Jin D. H. A classification of Einstein lightlike hypersurfaces of a Lorentzian space form J. of Geomtry and Physics 60 (2010) 1881-1889.