SavedAdd your journal

Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 22 Sayı: 1

Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds

Altın semi-Riemann manifoldların semi-invaryant lightlike altmanifoldları

Nergiz (önen) Poyraz(ÇUKUROVA ÜNİVERSİTESİ)0000-0002-8110-712X
Burçin Doğan(MALATYA TURGUT ÖZAL ÜNİVERSİTESİ)0000-0001-8386-213X
Pages
106–121
Publication Date
2020-01-10
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The paper also contains an example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we introduce semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds.
📊
Key Findings & Data:We find some conditions for integrability of distributions.
💡
Conclusion & Impact:The paper also contains an example.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Lightlike altmanifold · Altın semi-Riemann manifold · semi-invaryant altmanifold

Abstract

In this study, we introduce semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds. We find some conditions for integrability of distributions. Morever, we investigate totally geodesic and mixed geodesic distributions of such a submanifold. The paper also contains an example.

Özet

Bu makalede altın semi-Riemann manifoldların semi-invaryant lightlike altmanifoldlarını çalıştık. Distribüsyonların integrallenebilirliği için bazı koşullar bulduk. Ayrıca, böyle bir altmanifoldun tamamen geodezik ve mixed geodezik distribüsyonlarını inceledik. Makale, bir adet örnek içermektedir.

🔖

Cite This Article

Poyraz, N. (., Doğan, B. (2020). Semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 22 Sayı: 1, 106–121. https://doi.org/10.25092/baunfbed.679537

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (21)

  1. Acet, B. E., Lightlike hypersurfaces of metallic semi-Riemannian manifolds, Int. Jour. of Geometric method in modern Physics, 15(12), 185-201, (2018).
  2. Acet, B. E., Perktaş, S. Y. and Kılıç, E., Lightlike Submanifolds of a Para-Sasakian Manifold, Gen. Math. Notes, 22(2), 22-45, (2014).
  3. Atçeken, M. and Kılıç, E., Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Kodai Math. J., 30(3), 361-378, (2007).
  4. Bahadır, O. and Kılıç, E., Lightlike submanifolds of indefinite Kaehler manifolds with quarter symmetric non-metric connection, Mathematical Sciences And Applications E-Notes, 2(2), 89-104, (2014).
  5. Bahadır, O. and Kılıç, E., Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter Symmetric Non-Metric Connection, International Electronic Journal of Geometry, 9(1), 9-22, (2016).
  6. Crasmareanu, M. and Hretcanu, C. E., Golden Differential Geometry, Chaos, Solitons & Fractals, 38, 1229-1238, (2008).
  7. Duggal, K. L. and Bejancu, A., Lightlike submanifold of semi-Riemannian manifolds and its applications, Kluwer Academic, The Netherlands, (1996).
  8. Duggal, K. L. and Şahin, B., Screen Cauchy Riemann lightlike submanifolds, Acta Math. Hungar., 106(1-2), 137-165, (2005).
  9. Duggal, K. L. and Şahin, B., Generalized Cauchy Riemann lightlike submanifolds, Acta Math. Hungar., 112(1-2), 113-136, (2006).
  10. Duggal, K. L. and Şahin, B., Differential geometry of lightlike submanifolds, Birkhäuser Verlag, (2010).
  11. Erdoğan, F. E., Transversal lightlike submanifolds of metallic semi-Riemannian manifolds, Turkish Journal of Mathematics, 42 (6), 3133-3148, (2018).
  12. Erdoğan, F. E. and Yıldırım, C., On a study of the totally umbilical semi-invariant submanifolds of golden Riemannian manifolds, Politeknik Dergisi 21 (4), 967-970, (2018).
  13. Gezer, A., Cengiz, N., Salimov, A., On integrability of golden Riemannian structures, Turk. J. Math., 37, 693-703, (2013).
  14. Goldberg S.I., Yano K., Polynomial structures on manifolds, Kodai Math. Sem. Rep., 22, 199-218, (1970).
  15. Hretcanu, C. E., Crasmareanu, M., On some invariant submanifolds in Riemannian manifold with golden structure, An. Ştiint. Univ. Al. I. Cuza Iaşi. Mat. (N.S.), 53, suppl. 1, 199-211, (2007).
  16. Kılıç, E. and Şahin, B., Radical anti-invariant lightlike submanifolds of a Semi-Riemannian Product Manifold, Turkish Journal of Mathematics, 32, 429-449, (2008).
  17. Kupeli, D. N., Singular Semi-Riemannian Geometry, Kluwer Academic Publishers, Dordrecht, (1996).
  18. Özkan, M., Prolongations of golden structures to tangent bundles, Diff. Geom. Dyn. Syst., 16, 227-238, (2014).
  19. (Önen) Poyraz, N. and Yaşar, E., Lightlike hypersurfaces of a golden semi-Riemannian manifold, Mediterr. J. Math., 14:204, (2017).
  20. Yano, K., On a structure defined by a tensor field of type (1,1) satisfying, Tensor, N.S., 14, 99-109, (1963).
  21. Yano, K. and Kon, M., Structure on manifolds, World Scientific Publishing, (1984).