LIGHTLIKE HYPERSURFACES WITH PARALLEL SCREEN SHAPE OPERATOR

Year 2015, Volume: 8 Issue: 2, 57 - 69, 30.10.2015

Mahamane Mahi Harouna , Cyriaque Atındogbe Joel Tossa

https://doi.org/10.36890/iejg.592284

Cited By: 1

Abstract

Keywords

Lightlike hypersurface, screen conformal, screen shape operator

References

• [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.