Balanced metrics on Hartogs domains

被引：11
|
作者：
Loi, Andrea [1 ]
Zedda, Michela [1 ]
机构：
[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09124 Cagliari, Italy
来源：
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2011年 / 81卷 / 01期
关键词：
Kahler metrics; Balanced metrics; Hartogs domains; SCALAR CURVATURE; QUANTIZATION;
D O I：
10.1007/s12188-011-0048-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An n-dimensional strictly pseudoconvex Hartogs domain D (F) can be equipped with a natural Kahler metric g (F) . In this paper we prove that if m (0) g (F) is balanced for a given positive integer m (0) then m (0)> n and (D (F) ,g (F) ) is holomorphically isometric to an open subset of the n-dimensional complex hyperbolic space.
引用
收藏
页码：69 / 77
页数：9
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