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

页码：25 / 43

页数：19

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