대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제25권3호
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  • Pages.443-450
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  • 2010
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS

  • Jin, Dae-Ho (DEPARTMENT OF MATHEMATICS DONGGUK UNIVERSITY)
  • 투고 : 2009.06.18
  • 발행 : 2010.07.31
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초록

In this paper, we study the geometry of lightlike real hyper-surfaces of an indefinite Kaehler manifold. The main result is a characterization theorem for lightlike real hypersurfaces M of an indefinite complex space form $\bar{M}(c)$ such that the screen distribution is totally umbilic.

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참고문헌

  1. A. Bejancu and K. L. Duggal, Real hypersurfaces of indefinite Kaehler manifolds, Internat. J. Math. Math. Sci. 16 (1993), no. 3, 545–556. https://doi.org/10.1155/S0161171293000675
  2. 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.
  3. K. L. Duggal and D. H. Jin, Null curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007.
  4. K. Nomizu and U. Pinkall, On the geometry of affine immersions, Math. Z. 195 (1987), no. 2, 165–178. https://doi.org/10.1007/BF01166455
  5. B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, 1983.
  6. Y. Tashiro and S. I. Tachibana, On Fubinian and C-Fubinian manifolds, Kodai Math. Sem. Rep. 15 (1963), 176–183. https://doi.org/10.2996/kmj/1138844787

피인용 문헌

  1. LIGHTLIKE HYPERSURFACES OF INDEFINITE KAEHLER MANIFOLDS OF QUASI-CONSTANT CURVATURES vol.30, pp.5, 2014, https://doi.org/10.7858/eamj.2014.039
  2. LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD vol.27, pp.2, 2012, https://doi.org/10.4134/CKMS.2012.27.2.307
  3. 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
  4. NON-EXISTENCE OF TOTALLY GEODESIC SCREEN DISTRIBUTIONS ON LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS vol.28, pp.2, 2013, https://doi.org/10.4134/CKMS.2013.28.2.353
  5. Hopf Real Hypersurfaces in the Indefinite Complex Projective Space vol.16, pp.2, 2019, https://doi.org/10.1007/s00009-019-1299-9