A characterization of Mobius transformations

被引：7
|
作者：
Höfer, R [1 ]
机构：
[1] Univ Hamburg, Math Seminar, D-20146 Hamburg, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 04期
关键词：
Mobius transformation; Lie transformation; mappings preserving hyperspheres; Alexandrov's theorem for domains;
D O I：
10.1090/S0002-9939-99-05203-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let n greater than or equal to 2 bean integer and let D be a domain of R-n. Let f : D --> R-n be an injective mapping which takes hyperspheres whose interior is contained in D to hyperspheres in R-n. Then f is the restriction of a Mobius transformation.
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页码：1197 / 1201
页数：5
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