Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS

  • Jin, Dae-Ho (DEPARTMENT OF MATHEMATICS DONGGUK UNIVERSITY)
  • Received : 2009.02.04
  • Published : 2010.07.31
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Abstract

In this paper, we study the geometry of real half lightlike submanifolds of an indefinite Kaehler manifold. The main result is a characterization theorem for screen conformal real half lightlike submanifolds of an indefinite complex space form.

Keywords

References

  1. C. Atindogbe and K. L. Duggal, Conformal screen on lightlike hypersurfaces, Int. J. Pure Appl. Math. 11 (2004), no. 4, 421–442.
  2. K. L. Duggal, On canonical screen for lightlike submanifolds of codimension two, Cent. Eur. J. Math. 5 (2007), no. 4, 710–719 https://doi.org/10.2478/s11533-007-0026-0
  3. K. L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Mathematics and its Applications, 364. Kluwer Academic Publishers Group, Dordrecht, 1996.
  4. K. L. Duggal and D. H. Jin, A classification of Einstein lightlike hypersurfaces of a Lorentzian space form, to appear in J. Geom. Phys.
  5. D. H. Jin, Einstein half lightlike submanifolds with a Killing co-screen distribution, Honam Math. J. 30 (2008), no. 3, 487–504. https://doi.org/10.5831/HMJ.2008.30.3.487
  6. D. H. Jin, A characterization of screen conformal half lightlike submanifolds, Honam Math. J. 31 (2009), no. 1, 17–23. https://doi.org/10.5831/HMJ.2009.31.1.017
  7. D. N. Kupeli, On conjugate and focal points in semi-Riemannian geometry, Math. Z. 198 (1988), no. 4, 569–589. https://doi.org/10.1007/BF01162874

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  1. Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature vol.2012, 2012, https://doi.org/10.1155/2012/636782
  2. TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD vol.18, pp.1, 2011, https://doi.org/10.7468/jksmeb.2011.18.1.051
  3. GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION vol.36, pp.2, 2014, https://doi.org/10.5831/HMJ.2014.36.2.217
  4. TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE vol.32, pp.1, 2016, https://doi.org/10.7858/eamj.2016.001
  5. REAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD vol.26, pp.4, 2011, https://doi.org/10.4134/CKMS.2011.26.4.635
  6. STATICAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE vol.31, pp.2, 2016, https://doi.org/10.4134/CKMS.2016.31.2.365
  7. NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS vol.29, pp.4, 2014, https://doi.org/10.4134/CKMS.2014.29.4.539