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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 1

Screen generic lightlike submanifolds of semi-Riemannian product manifolds

Nergiz Poyraz(CUKUROVA UNIVERSITY)0000-0002-8110-712X
Sayfa
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Yayın Tarihi
2024-02-29
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also give examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce screen generic lightlike submanifolds of semi-Riemannian product manifolds.
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Temel Bulgular & Veri:We investigate the integrability of various distributions and geometry of such submanifolds.
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Sonuç & Katkı:We also give examples.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:semi-Riemannian product manifold · lightlike submanifold · generic lightlike submanifold

Abstract

In this paper, we introduce screen generic lightlike submanifolds of semi-Riemannian product manifolds. We investigate the integrability of various distributions and geometry of such submanifolds. Finally, we find a condition for minimal screen generic lightlike submanifolds. We also give examples.

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Bu Makaleye Atıf Yap

Poyraz, N. (2024). Screen generic lightlike submanifolds of semi-Riemannian product manifolds. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 1. https://doi.org/10.15672/hujms.1168604

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Kaynakça (25)

  1. M. Atçeken and E. Kılıç, Semi-invariant Lightlike submanifolds of a semi-Riemannian product manifold, Kodai. Math. J. 30 (3), 361-378, 2007.
  2. C.L. Bejan and K.L. Duggal, Global lightlike manifolds and harmonicity, Kodai. Math. J. 28, 131–145, 2005.
  3. B. Dogan, B. Sahin and E. Yasar, Screen generic lightlike submanifolds, Mediterr. J. Math. 16 (4), 21, 2019.
  4. K.L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Mathematics and Its Applications, Kluwer Publisher, 1996.
  5. K.L. Duggal and B. Sahin, Screen cauchy Riemann lightlike submanifolds, Acta Math. Hung. 106 (1), 137-165, 2005.
  6. K.L. Duggal and B. Sahin, Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds, Acta Math. Hung. 112 (1-2), 107–130, 2006.
  7. K.L. Duggal and B. Sahin, Lightlike submanifolds of indefinite Sasakian manifolds, Int. J. Math. Math. Sci. 2007, Art. No. 57585, 2007.
  8. K.L. Duggal and B. Sahin, Generalized Cauchy-Riemann Lightlike Submanifolds of Indefinite Sasakian Manifolds, Acta Math. Hung. 122, 45–58, 2009.
  9. K.L. Duggal and B. Sahin, Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics, 2010.
  10. F.E. Erdogan, On some types of lightlike submanifolds of golden semi-Riemannian manifolds, Filomat 33 (10), 3231-3242, 2019.
  11. F.E. Erdogan, S.Y. Perktas, B.E. Acet and A.M. Blaga, Screen transversal lightlike submanifolds of metallic semi-Riemannian manifolds, J. Geom. Phys. 142, 111-120, 2019.
  12. R.S. Gupta and A. Sharfuddin, Generalized Cauchy-Riemann Lightlike Submanifolds of Indefinite Kenmotsu Manifolds, Note Mat. 30 (2), 49–59, 2010.
  13. R.S. Gupta, Screen Generic Lightlike Submanifolds of Indefinite Sasakian Manifolds, Mediterr. J. Math. 17 (5), 1-23, 2020.
  14. R.S. Gupta and A. Sharfuddin, Screen transversal lightlike submanifolds of indefinite cosymplectic manifolds, Rend. Semin. Mat. Univ. Padova, 124, 145-156, 2010.
  15. R.S. Gupta, A. Upadhyay and A. Sharfuddin, Generalised Cauchy-Riemann lightlike submanifolds of indefinite cosymplectic manifolds, Analele Stiint. Univ. Al I Cuza Iasi-Ser. Noua-Mat. 58 (2), 381-394, 2012.
  16. D.H. Jin and J.W. Lee, Generic lightlike submanifolds of an indefinite Kähler manifold, Int. J. Pure Appl. Math. 101 (4), 543–560, 2015.
  17. S.M. Khursheed Haider, M. Thakur and Advin, Screen Cauchy-Riemann lightlike submanifolds of a semi-Riemannian product manifold, Int. Electron. J. Geom. 4 (2), 141–154, 2011.
  18. E. Kılıç, B. Sahin and S. Keles, Screen semi-invariant lightlike submanifolds of a semi-Riemannian product manifolds, Int. Electron. J. Geom. 4 (2), 120–135, 2011.
  19. S. Kumar, R. Kumar and R.K. Nagaich, GCR-lightlike submanifolds of a semi- Riemannian product manifold, Bull. Korean Math. Soc. 51 (3), 883-899, 2014.
  20. N. (Önen) Poyraz, Golden GCR-lightlike submanifolds of golden semi-Riemannian manifolds, Mediterr. J. Math. 17 (5), 1-16, 2020.
  21. N. (Önen) Poyraz, A study on screen transversal lightlike submanifolds of golden semi-Riemannian manifolds, Facta Univ. Ser. Math. Inform. 36 (4), 717-733, 2021.
  22. X. Senlin and N. Yilong, Submanifolds of product Riemannian manifold, Acta Math. Sci. 20 (2), 213-218, 2000.
  23. B. Sahin, Screen transversal lightlike submanifolds of indefinite Kaehler manifolds, Chaos Solitons Fractals, 38, 1439–1448, 2008.
  24. C. Yıldırım and B. Sahin, Screen transversal lightlike submanifolds of indefinite Sasakian manifolds, Analele Stiint. Univ. Ovidius C. 18 (2), 315-336, 2010.
  25. C. Yıldırım and F.E. Erdogan, Radical screen transversal lightlike submanifolds of semi-Riemannian product manifolds, Math. Sci. Appl. E-Notes, 3 (1), 75-85, 2015.