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Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds

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Abstract

We study a class of submanifolds, called Generalized Cauchy-Riemann (GCR) lightlike submanifolds of indefinite Sasakian manifolds as an umbrella of invariant, screen real, contact CR lightlike subcases [8] and real hypersurfaces [9]. We prove existence and non-existence theorems and a characterization theorem on minimal GCR-lightlike submanifolds.

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References

  1. A. Bejancu, Geometry of CR-Submanifolds, 23, Kluwer Academic (1986).

  2. C. L. Bejan and K. L. Duggal, Global lightlike manifolds and harmonicity, Kodai Math. J., 28 (2005), 131–145.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. Cǎlin, Contributions to geometry of CR-submanifold, Thesis, University of Iasi (Romania, 1998).

    Google Scholar 

  4. K. L. Duggal, Spacetime manifolds and contact structures, Int. J. Math. and Math. Sci., 13 (1990), 545–554.

    Article  MATH  MathSciNet  Google Scholar 

  5. K. L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, 364, Kluwer Academic (1996).

  6. K. L. Duggal and B. Sahin, Screen Cauchy Riemann lightlike submanifolds, Acta Math. Hungar., 106 (2005), 137–165.

    Article  MATH  MathSciNet  Google Scholar 

  7. K. L. Duggal and B. Sahin, Generalized Cauchy Riemann lightlike submanifolds of Kaehler manifolds, Acta Math. Hungar., 112 (2006), 107–130.

    Article  MATH  MathSciNet  Google Scholar 

  8. K. L. Duggal and B. Sahin, Lightlike submanifolds of indefinite Sasakian manifolds, Int. J. Math. and Math. Sci., (2007), Art. ID 57585, 21 pp.

  9. T. H. Kang, S. D. Jung, B. H. Kim, H. K. Pak and J. S. Pak, Lightlike hypersurfaces of indefinite Sasakian manifolds, Indian J. Pure and Appl., Math., 34 (2003), 1369–1380.

    MATH  MathSciNet  Google Scholar 

  10. D. N. Kupeli, Singular Semi-Riemannian Geometry, 366, Kluwer Academic (1996).

  11. T. Takahashi, Sasakian manifolds with pseudo-Riemannian metric, Tôhoku Math. J., 21 (1969), 271–290.

    Article  MATH  Google Scholar 

  12. S. Tanno, Sasakian manifolds with constant ϕ-halomorphic sectional curvature, Tôhoku Math. J., 21 (1969), 501–507.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, Canada, N9B 3P4

    K. L. Duggal

  2. Department of Mathematics, Inonu University, 44280, Malatya, Turkey

    B. Sahin

Authors
  1. K. L. Duggal
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  2. B. Sahin
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Correspondence to K. L. Duggal.

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Research supported by Natural Sciences and Engineering Research Council of Canada.

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Duggal, K.L., Sahin, B. Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds. Acta Math Hung 122, 45–58 (2009). https://doi.org/10.1007/s10474-008-7221-8

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  • DOI: https://doi.org/10.1007/s10474-008-7221-8

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