论文标题
yamabe solitons在形状sasaki上几乎接触b-近似歧管
Yamabe solitons on conformal Sasaki-like almost contact B-metric manifolds
论文作者
论文摘要
Yamabe soliton是在任意接触B-近距离歧管上定义的，该歧管是通过Reeb矢量场的接触式共形转换获得的，其双触点1形，B-metric及其相关的B-件。研究给定的歧管为余弦或类似sasaki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B-金属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 defined on arbitrary 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 cases when the given manifold is cosymplectic or Sasaki-like are 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 B-metric. An explicit 5-dimensional example of a Lie group is given, which is characterized in relation to the obtained results.
