论文标题
一种潜在缩放的方法在具有非伴动自动形态组的伪convex结构域的研究中
A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group
论文作者
论文摘要
仿射缩放方法一直是研究与非伴动自动形态组的复杂结构域的典型方法。在本文中，我们将介绍一种替代方法，即所谓的潜在缩放方法，以构建Kähler-Einstein Metric的一定类别的潜在功能。我们还将证明，如果一个有界的伪有源域域承认Kähler-Einstein Metric的潜在功能，其差异具有恒定的长度，那么就有$ 1 $ - 参数的自动形态家族。
The affine scaling method has been a typical approach to study complex domains with noncompact automorphism group. In this article, we will introduce an alternative approach, so called, the method of potential scaling to construct a certain class of potential functions of the Kähler-Einstein metric. We will also prove that if a bounded pseudoconvex domain admits a potential function of the Kähler-Einstein metric whose differential has constant length, then there is an $1$-parameter family of automorphisms.
