论文标题
Yamabe唯一几乎接触接触复杂的riemannian歧管，带有垂直Torse形成的矢量场
Yamabe Solitons on Conformal Almost Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field
论文作者
论文摘要
在几乎接触复杂的riemannian歧管上考虑了Yamabe soliton（也称为几乎接触B-近似歧管），该歧管是通过Reeb载体场的触点共形转换获得的，其双触点1型，B-Metric及其相关的B-Metric。研究电势是由REEB矢量场确定的垂直分布上恒定长度的扭矩矢量场时的情况。这样，获得了研究歧管的主要类别之一的歧管。同一类包含通过给定B-件的通常的共形转换的余弦歧管的共形等效歧管。给出了一个谎言组的显式5维示例，该示例与获得的结果有关。
A Yamabe soliton is considered on an almost contact complex Riemannian manifold (also known as an almost contact B-metric manifold) which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The case when the potential is a torse-forming vector field of constant length on the vertical distribution determined by the Reeb vector field is studied. In this way, manifolds from one of the main classes of the studied manifolds are obtained. The same class contains the conformally equivalent manifolds of cosymplectic manifolds by the usual conformal transformation of the given B-metric. An explicit 5-dimensional example of a Lie group is given, which is characterized in relation to the obtained results.
