East Asian mathematical journal

  • 제30권5호
  • /
  • Pages.599-607
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  • 2014
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES

  • Jin, Dae Ho (Department of Mathematics Dongguk University)
  • 투고 : 2014.06.13
  • 심사 : 2014.07.29
  • 발행 : 2014.09.30
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초록

We study lightlike hypersurfaces M of an indefinite Kaehler manifold $\bar{M}$ of quasi-constant curvature subject to the condition that the curvature vector field of $\bar{M}$ belongs to the screen distribution S(TM). We provide several new results on such lightlike hypersurfaces M.

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참고문헌

  1. B.Y. Chen and K.Yano, Hypersurfaces of a conformally flat space, Tensor (N. S.) 26, 1972, 318-322.
  2. K.L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
  3. K.L. Duggal and D.H. Jin, Null curves and Hypersurfaces of Semi-Riemannian Mani-folds, World Scientific, 2007.
  4. K.L. Duggal and B. Sahin, Differential geometry of lightlike submanifolds, Frontiers in Mathematics, Birkhauser, 2010.
  5. D.H. Jin, Screen conformal lightlike real hypersurfaces of an inde nite complex space form, Bull. Korean Math. Soc. 47(2), 2010, 341-353. https://doi.org/10.4134/BKMS.2010.47.2.341
  6. D.H. Jin, Lightlike real hypersurfaces with totally umbilical screen distributions, Commun. Korean Math. Soc. 25(3), 2010, 443-450. https://doi.org/10.4134/CKMS.2010.25.3.443
  7. D.H. Jin, Lightlike hypersurfaces of an inde nite Kaehler manifold, Commun. Korean Math. Soc. 27(2), 2012, 307-315. https://doi.org/10.4134/CKMS.2012.27.2.307
  8. D.H. Jin, Lightlike hypersurfaces of a semi-Riemannian manifold of quasi-constant cur-vature, Commun. Korean Math. Soc. 27(4), 2012, 763-770. https://doi.org/10.4134/CKMS.2012.27.4.763
  9. D.H. Jin and J.W. Lee, Lightlike submanifolds of a semi-Riemannian manifold of quasi-constant curvature, Journal of Applied Mathematics, 2012, Art ID 636782, 1-18.
  10. G. Kaimakamis and K. Panagiotidou, Real hypersurfaces in a non-flat complex space form with Lie recurrent structure Jacobi operator, Bull. Korean Math. Soc. 50(6), 2013, 2089-2101. https://doi.org/10.4134/BKMS.2013.50.6.2089