- Konuralp Journal of Mathematics
- Cilt: 11 Sayı: 2
- Riemannian $\\Pi-$Structure on $5-$Dimensional Nilpotent Lie Algebras
Riemannian $\\Pi-$Structure on $5-$Dimensional Nilpotent Lie Algebras
Authors : Şenay Bulut, Vildan Korucu Akan
Pages : 206-217
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Publication Date : 2023-10-31
Article Type : Research
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.Keywords : Para-Sasaki-like manifold, Ricci-like soliton, Riemannian $\\Pi-$manifold, Five dimensional nilpotent Lie algebras