REAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD

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Jin, Dae-Ho

  • 투고 : 2010.06.07
  • 발행 : 2011.10.31

초록

In this paper, we study the geometry of real half lightlike submanifolds of an indefinite Kaehler manifold $\bar{M}$. We provide several new results on such a real half lightlike submanifold M by using the F-structure of M induced by the almost complex structure J of $\bar{M}$.

키워드

lightlike transversal umbilical;irrotational;indefinite Kaehle manifold

참고문헌

  1. K. L. Duggal and A. Bejancu, Lightlike submanifolds of codimension two, Math. J. Toyama Univ. 15 (1992), 59-82.
  2. K. L. Duggal and D. H. Jin, Half lightlike submanifolds of codimension 2, Math. J. Toyama Univ. 22 (1999), 121-161.
  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. 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
  5. D. H. Jin, Half lightlike submanifolds with totally umbilical screen distributions, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math. 17 (2010), no. 1, 29-38.
  6. D. H. Jin, Real half lightlike submanifolds with totally umbilical properties, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math. 17 (2010), no. 1, 51-63.
  7. 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
  8. D. N. Kupeli, Singular Semi-Riemannian Geometry, Kluwer Academic Publishers Group, Dordrecht, 1996.

피인용 문헌

  1. 1. NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS vol.29, pp.4, 2014, doi:10.4134/CKMS.2011.26.4.635
  2. 2. GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION vol.36, pp.2, 2014, doi:10.4134/CKMS.2011.26.4.635