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Journals / Sinop Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 8 Sayı: 1

On Quasi-para-Sasakian Structures on 5-dimensions

5 Boyutta Kuasi-para-Sasaki Yapılar Üzerine

Şirin Aktay(Eskişehir Teknik Üniversitesi)0000-0003-2792-3481
Ümmü Kocabaş(ESKİŞEHİR TEKNİK ÜNİVERSİTESİ)0000-0003-0946-5544
Pages
75–86
Publication Date
2023-07-21
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AI Summary & Key Takeaways

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

We show that a quasi-para-Sasakian structure on a five dimensional nilpotent Lie algebra is either in G_5 or G_8.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we investigate the existence of quasi-para-Sasakian structures on five dimensional nilpotent Lie algebras.
📊
Key Findings & Data:Quasi-para-Sasakian structures correspond to the class G_5+G_8 in the classification of almost paracontact metric structures.
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Conclusion & Impact:We show that a quasi-para-Sasakian structure on a five dimensional nilpotent Lie algebra is either in G_5 or G_8.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Hemen-hemen Parakontak Metrik Yapı · 5-boyutlu Nilpotent Lie Cebri · Kuasi-para-Sasaki Yapı

Abstract

In this study, we investigate the existence of quasi-para-Sasakian structures on five dimensional nilpotent Lie algebras. There are six non-abelian nilpotent Lie algebras. We show that quasi-para-Sasakian structures exist only on one of these algebras. Quasi-para-Sasakian structures correspond to the class G_5+G_8 in the classification of almost paracontact metric structures. We show that a quasi-para-Sasakian structure on a five dimensional nilpotent Lie algebra is either in G_5 or G_8.

Özet

Bu çalışmada 5 boyutlu nilpotent Lie cebirleri üzerinde kuasi-para-Sasaki yapıların varlığı incelenmiştir. Birbirine izomorf olmayan altı tane Abelyen olmayan nilpotent Lie cebri vardır. Kuasi-para-Sasaki yapıların bu Lie cebirlerinden sadece birinde olduğu gösterilmiştir. Kuasi-para-Sasaki yapılar hemen-hemen parakontak metrik yapıların sınıflandırılmasına göre G_5+G_8 sınıfına karşılık gelmektedir. 5 boyutlu nilpotent bir Lie cebri üzerinde kuasi-para-Sasaki bir yapının G_5 veya G_8 sınıfından olduğu kanıtlanmıştır.

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Cite This Article

Aktay, Ş., Kocabaş, Ü. (2023). On Quasi-para-Sasakian Structures on 5-dimensions. Sinop Üniversitesi Fen Bilimleri Dergisi, Cilt: 8 Sayı: 1, 75–86. https://doi.org/10.33484/sinopfbd.1295803

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