论文标题

具有任意潜力和梯度几乎类似ricci的孤子的Ricci样孤子,几乎像Sasaki一样几乎接触B-近似歧管

Ricci-like solitons with arbitrary potential and gradient almost Ricci-like solitons on Sasaki-like almost contact B-metric manifolds

论文作者

Manev, Mancho

论文摘要

引入并研究了具有任意潜力的Ricci样孤子,并在类似Sasaki的几乎接触B-近似歧管上进行研究。事实证明,这种孤子的Ricci张量是两种b-Metrics的垂直成分乘以常数。已经确定梯度几乎类似Ricci的孤子具有恒定的孤子系数。提供了带有研究结构的尺寸3和5的层流的明确例子。

Ricci-like solitons with arbitrary potential are introduced and studied on Sasaki-like almost contact B-metric manifolds. It is proved that the Ricci tensor of such a soliton is the vertical component of both B-metrics multiplied by a constant. It is established that gradient almost Ricci-like solitons have constant soliton coefficients. Explicit examples of Lie groups as manifolds of dimensions 3 and 5 equipped with the structures studied are provided.

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