Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

被引：2

作者：

Isaev, Alexander ^{[1
]}

机构：

[1] Australian Natl Univ, Math Sci Inst, Canberra, ACT, Australia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2018年 / 63卷 / 12期

基金：

澳大利亚研究理事会;

关键词：

Kobayashi-hyperbolic manifolds; homogeneous complex manifolds; the group of holomorphic automorphisms; SIEGEL DOMAINS;

D O I：

10.1080/17476933.2017.1403430

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n >= 2 whose holomorphic automorphism group has dimension n(2) - 3. This result complements existing classifications for automorphism group dimension n(2) - 2 (which is in some sense critical) and greater.

引用

页码：1752 / 1766

页数：15

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