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Submitted
October 3, 2021
Accepted
January 4, 2023
Published
March 30, 2023
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Abstract

In this article, we introduce the notion of screen pseudo-slant lightlike submersions from an indefinite Kähler manifold onto a lightlike manifold which includes complex (invariant), screen real (anti-invariant), screen slant and SCR lightlike submersions. We study some properties of proper screen pseudo-slant lightlike submersions with non-trivial examples and gave a characterization theorem. We also obtain integrability conditions of distributions involved in the definition of such submersions.

Keywords

Submersion Slant manifold Lightlike manifold Lightlike submersion Kaehler manifold

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How to Cite
Shukla, S. S., & Omar, S. (2023). Screen Pseudo-Slant Lightlike Submersions. Journal of the Indonesian Mathematical Society, 29(1), 64–74. https://doi.org/10.22342/jims.29.1.1060.64-74
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References

  1. Barros, M. and Romero, A., Indefinite Kähler Manifolds, Math. Ann., 261, 55-62 (1982).
  2. Chen, B. Y., Geometry of Slant Submanifolds, Katholieke Univ, Leuven (1990).
  3. Duggal, K. L., Bejancu, A., Lightlike submanifolds of Semi-Riemannian Manifolds and Applications, Kluwar Acad. Dordrecht, 364 (1996).
  4. Duggal, K. L., Sahin, B., Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics (2010).
  5. Duggal, K. L., Sahin, B., Screen Cauchy Riemann Lightlike Submanifolds, Acta. Math., Hungar., 106(1-2), 137-165 (2005).
  6. Falcitelli, M., Ianus, S., Pastore, A. M., Riemannian Submersions and Related Topics, World Scientific (2004).
  7. Falcitelli, M., Pastore, A. M., A Note on Almost Kähler and Nearly Kähler Submersions, J. Geom. 69 (1), 79-87 (2000).
  8. Gray, A., Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech. 16, 715-737 (1967).
  9. O' Neill, B., The fundamental Equations of a Submersion, Michigan Mat. J., 13 (4), 459-469 (1966).
  10. O' Neill, B., Semi Riemannian Geometry with Applications to relativity, Academic press, New York (1983).
  11. Prasad, R., Shukla, S. S., Kumar, S., On Quasi bi-slant Submersions, Mediterr. J. Math., 16 (6), 155 (2019).
  12. Sahin, B., Slant lightlike submanifolds of indefinite Hermitian manifolds, Balkan J. Geo. and its Appl. (BJGA), 13 (1), 107-119 (2008).
  13. Sahin, B., Screen Slant Lightlike Submanifolds, Int., Electronic, J., of Geometry, 2 (1), 41-54 (2009).
  14. Sahin, B., Gündüzalp, Y., Submersions from Semi-Riemannian Manifolds onto Lightlike Manifolds, Hacct. J. Math. Stat., 39 (1), 41-53 (2010).
  15. Sahin, B., Slant Submersions from almost Hermitian Manifolds, Bull. Math. Soc., Sci. Math. Roumanie, 54 (102), 93-105 (2011).
  16. Shukla, S. S., Yadav, A., Screen pseudo-slant Lightlike Submanifolds of Indefinite K$ddot{a}$hler Manifolds, Novi sad J. Math., 46 (1), 147-158 (2016).
  17. Shukla, S. S., Omar, S., Screen Cauchy Riemann Lightlike Submersions, J. Math. Comp. Sci. 11 (2) 2377-2402 (2021).