Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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SCREEN SLANT LIGHTLIKE SUBMERSIONS

  • SHUKLA, S.S. (Department of Mathematics, University of Allahabad) ;
  • OMAR, SHIVAM (Department of Mathematics, University of Allahabad) ;
  • YADAV, SARVESH KUMAR (Department of Mathematics, University of Allahabad)
  • 투고 : 2021.12.08
  • 심사 : 2022.05.16
  • 발행 : 2022.09.30
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초록

We introduce two new classes of lightlike submersions, namely, screen slant and screen semi-slant lightlike submersions from an indefinite Kaehler manifold to a lightlike manifold giving characterization theorems with non trivial examples for both classes. Integrability conditions of all distributions related to the definitions of these submersions have been obtained.

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과제정보

This work was supported by the Council of Scientific and Industrial Research (CSIR).

참고문헌

  1. B.O'. Neill, The fundamental Equations of a Submersion, Michigan Mathematical Journal 13 (1966), 459-469. https://doi.org/10.1307/mmj/1028999604
  2. B.O'. Neill, Semi Riemannian Geometry with Applications to relativity, Academic press, New York, 1983.
  3. B. Sahin, Slant lightlike submanifolds of indefinite Hermitian manifolds, Balkan Journal of geometry and its Applications 13 (2008), 107-119.
  4. B. Sahin, Screen Slant Lightlike Submanifolds, International Electronic Journal of Geometry 2 (2009), 41-54.
  5. B. Sahin, Slant Submersions from almost Hermitian Manifolds, Bulletin of Mathematique des Sciences Mathematiques de Roumanie 54 (2011), 93-105.
  6. B. Sahin, Y. Gunduzalp, Submersions from Semi-Riemannian Manifolds onto Lightlike Manifolds, Haccettepe Journal of Mathematics and Statistics 39 (2010), 41-53.
  7. B.Y. Chen, Geometry of Slant Submanifolds, Katholieke Universiteit Leuven, 1990.
  8. K.L. Duggal, A. Bejancu, Lightlike submanifolds of Semi-Riemannian Manifolds and Applications, Kluwar Academic Dordrecht 364 (1996).
  9. K.L. Duggal, B. Sahin, Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics, (2010).
  10. M. Barros, A. Romero, Indefinite Kahler Manifolds, Mathematische Annalen 261 (1982), 55-62. https://doi.org/10.1007/BF01456410
  11. M. Falcitelli, S. Ianus, A.M. Pastore, Riemannian Submersions and Related Topics, World Scientific Publishing Company, 2004.
  12. R. Sachdeva, R. Kumar, S.S. Bhatia, Slant Lightlike Submersions from an Indefinite Almost Hermitian Manifold into a Lightlike Manifold, Ukrainion Mathematical Journal 68 (2016), 1097-1107. https://doi.org/10.1007/s11253-016-1280-8
  13. S.S. Shukla, A. Yadav, Screen Semi-Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds, Matematicki Vesnik 68 (2016), 119-129.
  14. S.S. Shukla, S. Omar, Screen Cauchy Riemann Lightlike Submersions, Journal of Mathematical and Computational Science 11 (2021), 2377-2402.