论文标题
Riemannian指标的模量空间的最大元素
A maximal element of a moduli space of Riemannian metrics
论文作者
论文摘要
对于给定的平滑歧管，我们将Riemannian指标的模量空间视为等轴测和缩放。可以通过等距组的大小在模量空间上定义预订。我们称之为Riemannian度量标准，该指标达到了最大元素最大值的最大度量。最大指标为各种度量演化方程（例如RICCI流动）提供了很好的自相似解。在本文中，我们在欧几里得空间上构建了许多最大指标的例子。
For a given smooth manifold, we consider the moduli space of Riemannian metrics up to isometry and scaling. One can define a preorder on the moduli space by the size of isometry groups. We call a Riemannian metric that attains a maximal element with respect to the preorder a maximal metric. Maximal metrics give nice examples of self-similar solutions for various metric evolution equations such as the Ricci flow. In this paper, we construct many examples of maximal metrics on Euclidean spaces.
