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Journals / New Trends in Mathematical Sciences / 2026 / Cilt: 4 Sayı: 3

On para-Sasakian manifolds with a canonical paracontact connection

Bilal Eftal Acet(ADIYAMAN UNIVERSITY)
Selcen Yüksel Perktaş(ADIYAMAN UNIVERSITY)
Pages
162–173
Publication Date
2016-09-30
DOI
—
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AI Summary & Key Takeaways

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

Also, it is shown that a quasi-concircularly flat para-Sasakian manifold is of constant scalar curvature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The object of the present paper is to study a para-Sasakian manifold with a canonical paracontact connection.
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Key Findings & Data:We prove that conformally flat, concircularly flat and projectively flat para-Sasakian manifolds with respect to canonical paracontact connection are all Einstein manifolds.
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Conclusion & Impact:Also, it is shown that a quasi-concircularly flat para-Sasakian manifold is of constant scalar curvature.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Para-Sasakian manifold · Para-Sasakian manifold

Abstract

The object of the present paper is to study a para-Sasakian manifold with a canonical paracontact connection. We prove that conformally flat, concircularly flat and projectively flat para-Sasakian manifolds with respect to canonical paracontact connection are all Einstein manifolds. Also, it is shown that a quasi-concircularly flat para-Sasakian manifold is of constant scalar curvature.

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Cite This Article

Acet, B. E., Perktaş, S. Y. (2016). On para-Sasakian manifolds with a canonical paracontact connection. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 3, 162–173. https://ajindex.com/articles/1657734

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