A generalization of Ricci-like solitons with torse-forming potential, which is constant multiple of the Reeb vector field, is studied. The conditions under which these solitons are equivalent to almost Einstein-like metrics are given. Some results are obtained for a parallel symmetric second-order covariant tensor. Finally, an explicit example of an arbitrary dimension is given and some of the results are illustrated.

中文翻译：

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在几乎接触的 B 度量流形上具有恒定长度的扭转形成垂直势的几乎类 Ricci 孤子

研究了具有扭转形成势的类 Ricci 孤子的推广，该势是 Reeb 矢量场的常数倍。给出了这些孤子等效于几乎类似于爱因斯坦的度量的条件。对于平行对称二阶协变张量，获得了一些结果。最后，给出了一个任意维度的明确示例，并说明了一些结果。