论文标题
像sasaki一样的垂直电势的Ricci样孤子几乎接触B-金属歧管
Ricci-like solitons with vertical potential on Sasaki-like almost contact B-metric manifolds
论文作者
论文摘要
研究的对象是Sasaki样接触歧管上类似Ricci的孤子。考虑到Ricci样孤子的电势是Reeb载体场或圆线线的情况。在前一种情况下，研究了平行或经常性ricci张量的属性。在后一种情况下，结果表明，所考虑的类似Ricci的孤子的电势具有恒定的长度，而歧管为$η$ -IENSTEIN。还发现了其他曲率条件，这意味着主要度量是爱因斯坦。之后，在研究的歧管上获得了平行的对称二阶协变张量，获得了一些结果。最后，给出了维度5的明确示例，并说明了一些结果。
Ricci-like solitons on Sasaki-like almost contact B-metric manifolds are the object of study. Cases, where the potential of the Ricci-like soliton is the Reeb vector field or pointwise collinear to it, are considered. In the former case, the properties for a parallel or recurrent Ricci-tensor are studied. In the latter case, it is shown that the potential of the considered Ricci-like soliton has a constant length and the manifold is $η$-Einstein. Other curvature conditions are also found, which imply that the main metric is Einstein. After that, some results are obtained for a parallel symmetric second-order covariant tensor on the manifolds under study. Finally, an explicit example of dimension 5 is given and some of the results are illustrated.
