konuralp j. math.

Konuralp Journal of Mathematics

2147-625X

Mehmet Zeki SARIKAYA

Applied Mathematics

Uygulamalı Matematik

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

Bulut

Şenay

Eskişehir Technical University

https://orcid.org/0009-0007-8501-9753

Korucu Akan

Vildan

ESKİŞEHİR TEKNİK ÜNİVERSİTESİ

10 31 2023

11 2 206 217 05 05 2023 08 08 2023

2013

Konuralp Journal of Mathematics

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.

Para-Sasaki-like manifold Ricci-like soliton Riemannian $\Pi-$manifold Five dimensional nilpotent Lie algebras

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