论文标题
几乎具有垂直电势的Riemann solitons在共透偶性接触复合物riemannian歧管上
Almost Riemann Solitons with Vertical Potential on Conformal Cosymplectic Contact Complex Riemannian Manifolds
论文作者
论文摘要
在几乎接触复杂的riemannian歧管上引入和研究了几乎Riemann soliton，即通过REEB矢量场的触点共形转换（其双重接触1 firect 1 firect the Bi-metric，b-metric，b-metric及其相关的b-Metric），从所考虑的类型的宇宙歧管中获得的几乎接触b-metric歧管。假定所研究的孤子的潜力位于垂直分布中，即与Reeb矢量场共线。这样，获得了研究的歧管的四个主要类别的歧管。得出所得歧管的曲率特性。构建了维度五的明确示例。使用BOCHNER曲率张量（至少为七个）作为保形不变，以获取属性并构建与所获得的结果相关的明确示例。
Almost Riemann solitons are introduced and studied on an almost contact complex Riemannian manifold, i.e. an almost contact B-metric manifold, obtained from a cosymplectic manifold of the considered type by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The potential of the studied soliton is assumed to be in the vertical distribution, i.e. it is collinear to the Reeb vector field. In this way, manifolds from the four main classes of the studied manifolds are obtained. Curvature properties of the resulting manifolds are derived. An explicit example of dimension five is constructed. The Bochner curvature tensor is used (for dimension at least seven) as a conformal invariant to get properties and construct an explicit example in relation to the obtained results.
