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
Primary Language | English |
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Subjects | Applied Mathematics |
Journal Section | Articles |
Authors | |
Publication Date | October 31, 2023 |
Submission Date | May 5, 2023 |
Acceptance Date | August 8, 2023 |
Published in Issue | Year 2023 Volume: 11 Issue: 2 |