대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제32권1호
  • /
  • Pages.119-133
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  • 2017
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Jin, Dae Ho (Department of Mathematics Dongguk University)
  • 투고 : 2016.01.13
  • 발행 : 2017.01.31
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초록

In this paper, we study half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. First, we characterize the geometry of two types of half lightlike submanifolds of such an indefinite Kaehler manifold. Next, we investigate the geometry of half lightlike submanifolds of an indefinite complex space form with a semi-symmetric non-metric connection.

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참고문헌

  1. N. S. Agashe and M. R. Chafle, A semi-symmetric non-metric connection on a Riemannian manifold, Indian J. Pure Appl. Math. 23 (1992), no. 6, 399-409.
  2. N. S. Agashe and M. R. Chafle, On submanifolds of a Riemannian manifold with semi-symmetric non-metric connection, Tensor (N.S.) 55 (1994), no. 2, 120-130.
  3. G. de Rham, Sur la reductibilite d'un espace de Riemannian, Comment 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. D. H. Jin, Geometry of screen conformal real half lightlike submanifolds, Bull. Korean Math. Soc. 47 (2010), no. 4, 701-714. https://doi.org/10.4134/BKMS.2010.47.4.701
  7. D. H. Jin, Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection, J. Korean Soc. Math. Educ. Ser. B Pure Appl. Math. 19 (2012), no. 3, 211-228.
  8. D. H. Jin, Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection, Bull. Korean Math. Soc. 50 (2013), no. 4, 1367-1376. https://doi.org/10.4134/BKMS.2013.50.4.1367
  9. D. H. Jin, Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric non-metric connection, J. Inequal. Appl. 2013 (2013), 403, 13 pp. https://doi.org/10.1186/1029-242X-2013-403
  10. D. H. Jin, Non-tangential half lightlike submanifolds of semi-Riemannian manifolds with semi-symmetric non-metric connections, J. Korean Math. Soc. 51 (2014), no. 2, 311-323. https://doi.org/10.4134/JKMS.2014.51.2.311
  11. D. H. Jin, Special lightlike hypersurfaces of indefinite Kaehler manifolds, accepted in Filomat, 2014.
  12. D. H. Jin, Lightlike hypersurface of an indefinite Kaehler manifold with a semi-symmetric non-metric connection, accepted in J. Korean Math. Soc. 2016.
  13. D. H. Jin and J. W. Lee, A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection, Bull. Korean Math. Soc. 50 (2013), no. 3, 705-717. https://doi.org/10.4134/BKMS.2013.50.3.705
  14. D. N. Kupeli, Singular Semi-Riemannian Geometry, Mathematics and Its Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
  15. E. Yasar, A.C. Coken, and A. Yucesan, Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection, Math. Scand. 102 (2008), no. 2, 253-264. https://doi.org/10.7146/math.scand.a-15061