A multidimensional real Schwarz Lemma for the Hilbert metric

被引：0
|
作者：
Mora, Leonardo [1 ]
机构：
[1] Univ Los Andes, Fac Ciencias, Dept Matemat, Merida 5101, Venezuela
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2011年 / 42卷 / 01期
关键词：
Hilbert; metric; Schwarz; Lemma; contraction; hyperbolicity;
D O I：
10.1007/s00574-011-0002-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a real multidimensional version of the Schwarz Lemma on a bounded convex domain D of R '' endowed with the Hilbert metric. We provide as an application an extension of a Birlchoff's Theorem on mappings contracting the Hilbert metric.
引用
收藏
页码：25 / 43
页数：19
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