GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD

Year 2012, Volume: 5 Issue: 1, 108 - 119, 30.04.2012

K.l. Duggal , D. J. Jın

Abstract

Keywords

Totally umbilical, locally symmetric, indenite Sasakian manifold

References

• [1] De Rham, G. Sur la r´eductibilit´e d’un espace de Riemannian, Comm. Math. Helv. 26(1952), 328–344.
• [2] Duggal, K. L. Spacetime manifolds and contact structures, Int. J. Math. & Math. Sci., 13,(1990), 545–554.
• [3] Duggal, K. L. and Bejancu, A. Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
• [4] Duggal, K. L. and Jin, D. H . Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific, 2007.
• [5] Duggal, K. L. and Sahin, B. Differential geometry of lightlike submanifolds, Frontiers in Mathematics, Birkh¨auser, 2010.
• [6] Duggal, K. L. and Jin, D. H., Totally umbilical lightlike submanifolds, Kodai Math. J. vol. 26(2003), 49-68.
• [7] Hawking, S.W. and Ellis, G.F.R . The large scale structure of space-time, Cambridge Uni- versity Press, Cambridge, 1973.
• [8] Jin, D. H. Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold, Indian J. of Pure and Applied Math., 41(1)(2010), 569–581.
• [9] Jin, D. H. Transversal half lightlike submanifolds of an indefinite Sasakian manifold, J. Korean Soc Math. Edu. Ser. B: Pure Appl. Math., 18(1)(2011), 51–61.
• [10] Jin, D. H. Half lightlike submanifold of an indefinite Sasakian manifold, J. Korean Soc Math. Edu. Ser. B: Pure Appl. Math., 18(2)(2011), 173–183.
• [11] Jin, D. H. and Lee, J. W. Generic lightlike submanifolds of an indefinite cosymplectic mani- fold, Mathematical Problems in Engineering, Article ID 610986,(2011), 16 pages.
• [12] Kupeli, D. N. Singular Semi-Riemannian Geometry, Mathematics and Its Applications, vol. 366, Kluwer Acad. Publishers, Dordrecht, 1996.
• [13] O’Neill, B. Semi-Riemannian Geometry with Applications to Relativity, Academic Press, 1983.
• [14] Yano, K. and Kon, M. Generic submanifolds, Ann. di Math. pura Appl., 123(1980), 59–92. [15] Yano, K. and Kon, M. Generic submanifolds of Sasakian manifolds, Kodai Math. J., 3(1980), 163–196.