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A multidimensional real Schwarz Lemma for the Hilbert metric

A multidimensional real Schwarz Lemma for the Hilbert metric We present a real multidimensional version of the Schwarz Lemma on a bounded convex domain D of ℝ n endowed with the Hilbert metric. We provide as an application an extension of a Birkhoff’s Theorem on mappings contracting the Hilbert metric. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

A multidimensional real Schwarz Lemma for the Hilbert metric

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References (4)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Mathematics, general
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-011-0002-y
Publisher site
See Article on Publisher Site

Abstract

We present a real multidimensional version of the Schwarz Lemma on a bounded convex domain D of ℝ n endowed with the Hilbert metric. We provide as an application an extension of a Birkhoff’s Theorem on mappings contracting the Hilbert metric.

Journal

Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals

Published: Feb 23, 2011

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