Proper holomorphic mappings between symmetrized ellipsoids

被引：6
|
作者：
Zapalowski, Pawel [1 ]
机构：
[1] Jagiellonian Univ, Inst Math, PL-30348 Krakow, Poland
来源：
ARCHIV DER MATHEMATIK | 2011年 / 97卷 / 04期
关键词：
Proper holomorphic mappings; Symmetrized ellipsoids; Quasi balanced domains; Group of automorphisms; GEOMETRY; POLYDISK; DOMAINS; BIDISC;
D O I：
10.1007/s00013-011-0311-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the existence of proper holomorphic mappings in the special class of bounded (1, 2, ... , n)-balanced domains in C(n), called the symmetrized ellipsoids. Using this result we conclude that there are no non-trivial proper holomorphic self-mappings in the class of symmetrized ellipsoids. We also describe the automorphism groups of these domains.
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页码：373 / 384
页数：12
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