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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 9 - Sayı: 2

Lightlike Hypersurfaces of an Indefinite Para Sasakian Manifold

Bir Belirsiz Para Sasakiyan Manifoldun Lightlike Hiperyüzeyleri

Erol KILIÇ
Mukut Mani TRIPATHI
Selcen YÜKSEL PERKTAŞ
Pages
352–373
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Integrability conditions for the distributions involved in the screen semi-invariant lightlike hypersurface of an indefinite para Sasakian manifold are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we initiate the study of lightlike hypersurfaces of an indefinite almost paracontact metric manifold which are tangent to the structure vector field.
📊
Key Findings & Data:In particular, we give definitions of invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, and give some examples.
💡
Conclusion & Impact:Integrability conditions for the distributions involved in the screen semi-invariant lightlike hypersurface of an indefinite para Sasakian manifold are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we initiate the study of lightlike hypersurfaces of an indefinite almost paracontact metric manifold which are tangent to the structure vector field. In particular, we give definitions of invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, and give some examples. Integrability conditions for the distributions involved in the screen semi-invariant lightlike hypersurface of an indefinite para Sasakian manifold are investigated.

Özet

Bu makalede, bir belirsiz para Sasakiyan manifoldun yapı vektör alanına teğet olan lightlike hiperyüzeyleri çalışılmıştır. Özel olarak, değişmez lightlike hiperyüzeyler ve ekran yarı-değişmez lightlike hiperyüzeyler tanıtılarak bazı örnekler verilmiştir. Bir belirsiz para Sasakian manifoldun ekran yarı-değişmez lightlike hiperyüzeyine dahil olan distribüsyonlar için integrallenebilirlik koşulları incelenmiştir.

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Cite This Article

KILIÇ, E., TRIPATHI, M. M., PERKTAŞ, S. Y. (2022). Lightlike Hypersurfaces of an Indefinite Para Sasakian Manifold. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 9 - Sayı: 2, 352–373. https://ajindex.com/articles/428490

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