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.
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页码：1752 / 1766
页数：15
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