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

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

Şenay BULUT
Vildan KORUCU AKAN
Sayfa
206–217
Yayın Tarihi
2023-10-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The object of our investigations is to classify 5-dimensional nilpotent Lie algebras with two different Riemannian $\Pi-$structures.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Moreover, we investigate whether the considered manifolds admit Ricci-like solitons and whether they are $\eta-$Einstein manifolds.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (11)

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