论文标题
关于几乎具有梯度或磨损矢量场的几乎Riemann孤子的评论
Remarks on almost Riemann solitons with gradient or torse-forming vector field
论文作者
论文摘要
我们认为几乎是Riemann Solitons $（V，λ）$中的riemannian歧管，并强调了它们与几乎Ricci Solitons的关系。当$ v $是梯度类型时，使用bochner公式，我们通过梯度矢量字段$ v $明确表示函数$λ$，并用合适的示例说明了结果。此外，当孤子的潜在向量场是电磁阀或形成型的特定情况时，我们推断出某些特性，并具有特殊的曲率视图。
We consider almost Riemann solitons $(V,λ)$ in a Riemannian manifold and underline their relation to almost Ricci solitons. When $V$ is of gradient type, using Bochner formula, we explicitly express the function $λ$ by means of the gradient vector field $V$ and illustrate the result with suitable examples. Moreover, we deduce some properties for the particular cases when the potential vector field of the soliton is solenoidal or torse-forming, with a special view towards curvature.
