SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS

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  • [1] Atçeken, M. and Kılıç, E., Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Kodai Math. J. Vol.30, No.3, 361-378, (2007).
  • [2] Bejan, C.L., 2-Codimensional Lightlike Submanifolds of Almost Para-Hermitian Manifolds, Differential Geometry and Applications, (1996), 7-17.
  • [3] Duggal, K.L. and Şahin, B., Screen Cauchy Riemann Ligtlike Submanifolds, Acta Math. Hungar. 106 (1-2), (2005), 137-165.
  • [4] Duggal, K.L. and Şahin, B., Differential Geometry of Lightlike Submanifolds, Birkhauser Veralag AG, Basel, Boston, Berlin (2010).
  • [5] Duggal, K.L., Warped Product of Lightlike Submanifolds, Nonlinear Analysis, 47, (2001), 3061-3072.
  • [6] Duggal, K.L., Constant Scalar Curvature and Warped Product Globally Null Manifolds, J. Geom. Phys., 43 (2002), 327-340.
  • [7] Duggal, K.L., and Jin, D.H., Totally Umbilical Lightlike Submanifolds, Kodai Math. J., 26, (2003), 49-68.
  • [8] Duggal, K.L. and Bejancu, A. Lightlike Submanifolds of Semi-Riemannian Manifolds and Its Applications, Kluwer,Dortrecht, (1996).
  • [9] Kilic, E. and Şahin, B., Radical Anti-Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds, Turk. J. Math. 32, (2008), 429-449.
  • [10] O’Neill, B., Semi-Riemannian Geometry with Applicitaions to Relativity, Academic Press. New York, (1983).
  • [11] Şahin, B. and At¸ceken, M., Semi-Invariant Submanifolds of Riemannian Product Manifold. Balkan Journal of Geometry and Its Applications, 8, No:1, (2003), 91-100.
  • [12] Senlin, X. and Yilong, N., Submanifolds of Product Riemannian Manifold. Acta Mathematica Scientia, 20(B), (2000), 213-218.
  • [13] Ximin,L. and Shao, F.-M., Skew Semi-Invariant Submanifolds of a Locally Product Manifold. Portugalia Math., Vol.56, Fasc.3, (1999), 319-327.
  • [14] Yano, K., and Kon, M., Structure on Manifolds. World Scientific Publishing Co.Ltd (1984).