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Journals / Turkish Journal of Mathematics / 2003 / Cilt: 27 - Sayı: 2

On Lightlike Hypersurfaces of a Semi-Riemannian Space form

Erol KILIÇ
Rıfat GÜNEŞ
Bayram ŞAHİN
Pages
283–297
Publication Date
2022-11-04
DOI
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AI Summary & Key Takeaways

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

Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold.
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Key Findings & Data:Also, we show that a lightlike Hypersurface of IR4q4m(m,q > 1) is totally geodesic under some restrictions.
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Conclusion & Impact:Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2003) · 283-297. Full text: pdf Other articles published in the same issue: Turk. J. Math.

Abstract

In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a lightlike Hypersurface of IR4q4m(m,q > 1) is totally geodesic under some restrictions. Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.

Özet

In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a lightlike Hypersurface of IR4q4m(m,q > 1) is totally geodesic under some restrictions. Finally, we give some results on Ricci curvature of a lightlike hypersurface to be symmetric.

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Cite This Article

KILIÇ, E., GÜNEŞ, R., ŞAHİN, B. (2022). On Lightlike Hypersurfaces of a Semi-Riemannian Space form. Turkish Journal of Mathematics, Cilt: 27 - Sayı: 2, 283–297. https://ajindex.com/articles/608803

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