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Journals / Konuralp Journal of Mathematics / 2023 / Cilt: 11 Sayı: 2

Riemannian $\Pi-$Structure on $5-$Dimensional Nilpotent Lie Algebras

Şenay BULUT
Vildan KORUCU AKAN
Pages
206–217
Publication Date
2023-10-31
DOI
—
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AI Summary & Key Takeaways

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

Moreover, we investigate whether the considered manifolds admit Ricci-like solitons and whether they are $\eta-$Einstein manifolds.

📌 3 Key Takeaways

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Objective & Hypothesis:The object of our investigations is to classify 5-dimensional nilpotent Lie algebras with two different Riemannian $\Pi-$structures.
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Key Findings & Data:It is shown that the Lie groups corresponding to the Lie algebras $\mathfrak{g} _{i}$ equipped with two different Riemannian $\Pi-$structures is not para-Sasaki-like.
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Conclusion & Impact:Moreover, we investigate whether the considered manifolds admit Ricci-like solitons and whether they are $\eta-$Einstein manifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Para-Sasaki-like manifold · Ricci-like soliton · Riemannian $\Pi-$manifold

Abstract

The object of our investigations is to classify 5-dimensional nilpotent Lie algebras with two different Riemannian $\Pi-$structures. It is shown that the Lie groups corresponding to the Lie algebras $\mathfrak{g} _{i}$ equipped with two different Riemannian $\Pi-$structures is not para-Sasaki-like. Moreover, we investigate whether the considered manifolds admit Ricci-like solitons and whether they are $\eta-$Einstein manifolds.

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Cite This Article

BULUT, Ş., AKAN, V. K. (2023). Riemannian $\Pi-$Structure on $5-$Dimensional Nilpotent Lie Algebras. Konuralp Journal of Mathematics, Cilt: 11 Sayı: 2, 206–217. https://ajindex.com/articles/1015619

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