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Colbois, Bruno

Nom
Colbois, Bruno
Affiliation principale
Site web
Fonction
Professeur ordinaire
Email
Bruno.Colbois@unine.ch
Identifiants
https://libra.unine.ch/handle/123456789/456
_
0000-0002-8514-4315

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  • Publication
    Métadonnées seulement
    Rigidity of Hilbert metrics
    (2002)
    Colbois, Bruno 
    ;
    Verovic, Patrick
    We study the groups of isometries for Hilbert metrics on bounded open convex domains in R-n and show that if C is such a set with a strictly convex boundary, the Hilbert geometry is asymptotically Riemannian at infinity. As a consequence of this result, we prove there are no Hausdorff quotients of C by isometry subgroups with finite volume except when partial derivativeC is an ellipsoid.