论文标题
关于建造完整扩展的梯度Rici Soliton
On the construction of complete expanding gradient Rici solitons
论文作者
论文摘要
我们研究梯度Ricci Solitons扭曲的产品，其基础是欧几里得空间。我们表明，在（n-1）维翻译组下，这些流形的扭曲函数是不变的。当扭转函数仅取决于一个变量时，我们会表征潜在函数，这是翻译不变的特定情况。从这项研究中，我们得出了扩大梯度RICCI孤子子的完整示例。
We study gradient Ricci solitons warped products whose base is the Euclidean space. We show that the warping functions of these manifolds are invariant under the (n-1)-dimensional translation group. We characterize the potential function when the torsion function depends only on one variable, which is a particular case of invariance by translation. From this study, we derive complete examples of expanding gradient Ricci solitons.
