论文标题
类似于para-sasaki的para-ricci般的孤子，类似于para-sasaki的riemannian $π$ -Manifolds
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian $Π$-manifolds
论文作者
论文摘要
引入和研究了类似于Para-Sasaki的Riemannian $π$ -Manifolds上具有任意潜力的Para-ricci样孤子。对于所研究的孤子，证明其ricci张量是两个指标的垂直成分的恒定倍数。因此，两个被考虑的指标的相应标态曲率相等且恒定。提出了作为所研究的流形的谎言组的明确例子。
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian $Π$-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.
