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Hilbert domains that admit a quasi-isometric embedding into Euclidean space
Colbois, Bruno
;
Verovic, Patrick
In: Advances in Geometry, 2011, vol. 11, no. 3, p. 465-470
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Title
Hilbert domains that admit a quasi-isometric embedding into Euclidean space
Author
Colbois, Bruno
. Université de Neuchâtel, Institut de mathématique, Rue Émile Argand 11, Case postale 158, 2009 Neuchâtel, Switzerland
Verovic, Patrick
. UMR 5127 du CNRS & Université de Savoie, Laboratoire de mathématique, Campus scientifique, 73376 Le Bourget-du-Lac Cedex, France
Document Type
Postprint
Language
English
Published in
Advances in Geometry,
2011, vol. 11, no. 3, p. 465-470. Walter de Gruyter GmbH & Co. KG
Other Version
Publisher's version :
https://doi.org/10.1515/advgeom.2011.016
Classification
Health
Keywords
Primary: global Finsler geometry
;
Secondary: convexity
OAI-PMH Identifier
oai:doc.rero.ch:294778
Summary
We prove that a Hilbert domain which admits a quasi-isometric embedding into a finite-dimensional normed vector space is actually a convex polytope