East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION

  • Jin, Dae Ho (Department of Mathematics Dongguk University)
  • Received : 2017.01.20
  • Accepted : 2017.09.19
  • Published : 2017.09.30
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Abstract

Jin [10] studied lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. We study further the geometry of this subject. The object of this paper is to study the geometry of half lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection.

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References

  1. P. Alegre, D.E. Blair and A. Carriazo, Generalized Sasakian space form, Israel J. Math. 141 (2004), 157-183. https://doi.org/10.1007/BF02772217
  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 codimension 2, Math. J. Toyama Univ., 15 (1992), 59-82.
  5. K.L. Duggal and D.H. Jin, Half-lightlike submanifolds of codimension 2, Math. J. Toyama Univ., 22 (1999), 121-161.
  6. D.H. Jin, A semi-Riemannian manifold of quasi-constant curvature admits some half lightlike submanifolds, Bull. Korean Math. Soc., 50 (2013), no. 3, 1041-1048. https://doi.org/10.4134/BKMS.2013.50.3.1041
  7. D.H. Jin, Half lightlike submanifolds of an indefinite trans-Sasakian manifold, Bull. Korean Math. Soc., 51 (2014), no. 4, 979-994. https://doi.org/10.4134/BKMS.2014.51.4.979
  8. D.H. Jin, Indefinite trans-Sasakian manifold of quasi-constant curvature with lightlike hypersurfaces, Balkan J. Geo. Its Appl., 20 (2015), no. 1, 65-75.
  9. D.H. Jin, Geometry of lightlike hypersurface of an indefinite Kaehler manifold with a quarter-symmetric metric connection, Appl. Math. Sci., 10 (2016), no. 6, 289-299.
  10. D.H. Jin, Geometry of lightlike hypersurface of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection, Appl. Math. Sci., 10 (2016), no. 13, 625-636.
  11. D.H. Jin and J.W. Lee, A semi-Riemannian manifold of quasi-constant curvature admits some lightlike submanifolds, Inter. J. Math. Analysis, 9 (2015), no. 25, 1215-1229. https://doi.org/10.12988/ijma.2015.5255
  12. D.N. Kupeli, Singular Semi-Riemannian Geometry. Mathematics and Its Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
  13. J.A. Oubina, New classes of almost contact metric structures, Publ. Math. Debrecen, 32 (1985), 187-193.
  14. K. Yano and T. Imai, Quarter-symmetric metric connection and their curvature tensors, Tensor, N.S., 38 (1982), 13-18.