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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

Lightlike hypersurfaces with planar normal sections in R₁⁴

Selcen Yüksel Perktaş(ADIYAMAN UNIVERSITY)0000-0002-8848-0621
Feyza Esra Erdoğan(EGE UNIVERSITY)0000-0003-0568-7510
Pages
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Publication Date
2020-06-30
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⚡ TL;DR(Too Long; Didn't Read)

In the present paper our aim is to investigate lightlike hypersurfaces of $\mathbb{R}^4_1$ having degenerate or non-degenerate planar normal sections.

📌 3 Key Takeaways

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Objective & Hypothesis:In the present paper our aim is to investigate lightlike hypersurfaces of $\mathbb{R}^4_1$ having degenerate or non-degenerate planar normal sections.
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Key Findings & Data:In the present paper our aim is to investigate lightlike hypersurfaces of $\mathbb{R}^4_1$ having degenerate or non-degenerate planar normal sections.
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Conclusion & Impact:In the present paper our aim is to investigate lightlike hypersurfaces of $\mathbb{R}^4_1$ having degenerate or non-degenerate planar normal sections.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lightlike hypersurface · non-degenerate planar normal section · degenerate normal section

Abstract

In the present paper our aim is to investigate lightlike hypersurfaces of $\mathbb{R}^4_1$ having degenerate or non-degenerate planar normal sections.

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Cite This Article

Perktaş, S. Y., Erdoğan, F. E. (2020). Lightlike hypersurfaces with planar normal sections in R₁⁴. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.473923

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References (14)

  1. Atindogbe, C. and Duggal, K. L., Conformal screen on lightlike hypersurfaces, Int. J. Pure Appl. Math. 11(4), (2004), 421-442.
  2. Chen, B. Y., Classification of hypersurfaces with Planar Normal Sections, Journal of Geometry, Vol.20 (1983), 122-127.
  3. Duggal, K. L. and Bejancu, A., Lightlike hypersurfaces of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publisher, 1996.
  4. Duggal, K. L. and Jin, D. H., Null Curves and hypersurfaces of Semi Riemannian Manifolds, World Scientific, 2007.
  5. Duggal, K. L. and Şahin B., Differential Geometry of Lightlike hypersurfaces, Springer Birkhauser, 2010.
  6. Kim, Y. H., Minimal hypersurfaces of pseudo-Euclidean spaces with geodesic normal sections, Differential Geometry and its Applications, 5 (1995), 321-329.
  7. Kim, Y. H., Pseudo-Riemannian hypersurfaces with pointwise planar normal sections, Math. J. Okayama Univ., 34 (1992), 249-257.
  8. Kim, Y. H., Hypersurfaces in a pseudo-Euclidean space with planar normal sections, Journal of Geometry, vol.35 (1989), 120-131.
  9. Li. S. J., Hypersurfaces with Pointwise Planar Normal Sections in a sphere, Journal of Geometry, 70 (2001), 101-107.
  10. O'Neill, B., Semi Riemannian Geometry with Applications to Relativity, Academic Press, 1983.
  11. Erdoğan, F. E., Güneş, R. and Şahin, B., Half-lightlike hypersurface with planar normal sections in R₂⁴, Turk. J. Math. Vol.38 (2014), 764-777.
  12. Erdoğan, F. E., Şahin, B. and Güneş, R., Lightlike hypersurfaces with planar normal section in Minkowski 3-space, Int. Electron. J. Geom., Vol.7, no.1, 2014.
  13. Erdoğan, F. E., Yüksel Perktaş, S. and Güneş, R., Half Lightlike hypersurfaces with degenerate and non-degenerate planar normal sections in pseudo-Euclidean spaces, International Journal of Geometry, Vol. 7, No.1 (2018), 37-53.
  14. Erdoğan, F. E., Yüksel Perktaş, S. and Güneş, R., Half Lightlike hypersurfaces with degenerate and non-degenerate planar normal sections in pseudo-Euclidean spaces, International Journal of Geometry, Vol. 7, No.1 (2018), 37-53.