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SPECIAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD

  • Jin, Dae Ho (Department of Mathematics Dongguk University)
  • Received : 2012.04.20
  • Published : 2014.01.31

Abstract

In this paper, we study the geometry of half lightlike submanifolds of an indefinite Sasakian manifold. There are several different types of half lightlike submanifolds of an indefinite Sasakian manifold according to the form of its structure vector field. We study two types of them here: tangential and ascreen half lightlike submanifolds.

Keywords

References

  1. A. Bejancu, Geometry of CR-submanifolds, D. Reil, Dordrecht, 1986.
  2. C. Calin, Contributions to geometry of CR-submanifold, Thesis, University of Iasi (Romania), 1998.
  3. G. de Rham, Sur la reductibilite d'un espace de Riemannian, Comm. Math. Helv. 26 (1952), 328-344 https://doi.org/10.1007/BF02564308
  4. K. L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
  5. K. L. Duggal and D. H. Jin, Half-Lightlike Submanifolds of Codimension 2, Math. J. Toyama Univ. 22 (1999), 121-161.
  6. K. L. Duggal and D. H. Ji, Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific, 2007.
  7. K. L. Duggal and B. Sahin, Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds, Acta Math. Hungar. 112 (2006), no. 1-2, 107130. https://doi.org/10.1007/s10474-006-0068-y
  8. K. L. Duggal and B. Sahin, Lightlike Submanifolds of indefinite Sasakian manifolds, Int. J. Math. Math. Sci. 2007 (2007), Art. ID 57585, 21 pp.
  9. D. H. Jin, Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold, Indian J. Pure Appl. Math. 41 (2010), no. 4, 569-581. https://doi.org/10.1007/s13226-010-0032-y
  10. D. H. Jin, Transversal half lightlike submanifolds of an indefinite Sasakian manifold, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math. 18 (2011), no. 1, 51-62. https://doi.org/10.7468/jksmeb.2011.18.1.051
  11. D. H. Jin, Half lightlike submanifolds of an indefinite Sasakian manifold, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math. 18 (2011), no. 2, 173-183. https://doi.org/10.7468/jksmeb.2011.18.2.173
  12. T. H. Kang, S. D. Jung, B. H. Kim, H. K. Pak, and J. S. Pak, Lightlike hypersurfaces of indefinite Sasakian manifolds, Indian J. Pure Appl. Math. 34 (2003), no. 9, 1369-1380.
  13. D. N. Kupeli, Singular Semi-Riemannian Geometry, Mathematics and Its Applications, Kluwer Acad. Publishers, Dordrecht, 1996.