Abstract Ricci-like solitons with potential Reeb vector field are introduced and studied on almost contact B-metric manifolds. The cases of Sasaki-like manifolds and torse-forming potentials have been considered. In these cases, it is proved that the manifold admits a Ricci-like soliton if and only if the structure is Einstein-like. Explicit examples of Lie groups as 3- and 5-dimensional manifolds with the structures studied are provided.

中文翻译：

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几乎接触 B 度量流形上的类 Ricci 孤子

摘要 在几乎接触的B-度量流形上引入并研究了具有潜在Reeb矢量场的类Ricci孤子。已经考虑了类 Sasaki 流形和扭转形成势的情况。在这些情况下，证明了当且仅当结构是类爱因斯坦的时，流形允许类 Ricci 孤子。提供了作为 3 维和 5 维流形的李群的明确例子，并提供了所研究的结构。