期刊
MATHEMATICS
卷 10, 期 4, 页码 -出版社
MDPI
DOI: 10.3390/math10040651
关键词
para-Ricci-like soliton; para-Sasaki-like; Riemannian pi-manifolds; arbitrary potential; Einstein manifold; Einstein-like manifold; eta-Einstein manifold
类别
资金
- University of Plovdiv Paisii Hilendarski [MU21-FMI-008, FP21-FMI-002]
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian pi-manifolds are introduced and studied. The property of the studied soliton is determined by proving that its Ricci tensor is a constant multiple of the vertical component of both metrics. As a result, the corresponding scalar curvatures of the two considered metrics are equal and constant. Additionally, an explicit example of a Lie group as the manifold under study is provided.
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian pi-manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tensor is a constant multiple of the vertical component of both metrics. Thus, the corresponding scalar curvatures of both considered metrics are equal and constant. An explicit example of the Lie group as the manifold under study is presented.
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