论文标题

继续与高维自动型组的均匀kobayashi-hyperbolic分类

Continuing the classification of homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

论文作者

Herrington, Elliot

论文摘要

我们对所有均匀的Kobayashi -hyperbolic进行了分类$ n \ ge 2 $,其圆形自动形态的组具有$ n^2-7 $ n^2-7 $或$ n^2-8。

We classify all homogeneous Kobayashi-hyperbolic manifolds of dimension $n \ge 2$ whose group of holomorphic automorphisms has dimension either $n^2 - 7$ or $n^2 - 8.$ This paper continues the work of A. Isaev, who classified all such manifolds with automorphism group dimension $n^2 - 6$ and greater.

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