SEMI-SYMMETRIC AND RICCI SEMI-SYMMETRIC LIGHTLIKE HYPERSURFACES OF AN INDEFINITE GENERALIZED SASAKIAN SPACE FORM

___

  • [1] Abdalla, B. E., Dillen, F.: A Ricci semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Proc. Amer. Math. Soc. 130, 6, 1805-1808, (2002).
  • [2] Alegre P., D. E. Blair and A. Carriazo: Generalized Sasakian space forms, Israel Journal of Mathematics 141(2004), 157-183.
  • [3] Bejancu, A.: Null hypersurfaces of semi-Euclidean spaces, Saitama Math J. 14, 25-40, (1996).
  • [4] Defever, F.: Ricci-semisymmetric hypersurfaces, Balkan J. of Geometry and its appl. 5, 1, 81-91, (2000).
  • [5] Deprez, J.: Semi-parallel surfaces in Euclidean space, J. of Geometry, 25, 192-200, (1985).
  • [6] Duggal, Krishan L. and Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers, Dordrecht, 1996.
  • [7] Ludden, G. D.: Submanifolds of cosympletic manifolds, Journal of Differential Geometry 4 (1970), 237-244.
  • [8] Kupeli, D.N.: Singular Semi-Riemannian Geometry, Kluwer Acad. Publishers, Dordrecht, 1996.
  • [9] Matsuyama, Y.: Complete hypersurfaces with R.S = 0 in En+1, Proc. Amer. Math. Soc. 88, 119-123, (1983).
  • [10] Nomizu, K.: On hypersurfaces satisfying a certain condition on the curvature tensor, Tohoku Math. J. 20, 46-59, (1986).
  • [11] Ryan, P. J.: A class of complex hypersurfaces , Colloquium Math. 26, 175-182, (1972).
  • [12] Sahin, B.: Lightlike hypersurfaces of semi-Euclidean spaces satisfying curvature conditions of semi-symmetry type, Turk. J. Math. 31, 139-162, (2007).
  • [13] Szabo, Z.: Structure theorems on Riemannian spaces satisfying R(X, Y ).R = 0, the local version, J. Differential Geometry, 17, 531-582, (1982).
  • [14] Tanno, S.: Hypersurfaces satisfying a certain condition on the Ricci tensor, Tohoku Math. J. 21, 297-303, (1969).