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Hilbert geometry for strictly convex domains
Auteur(s)
Verovic, Patrick
Date de parution
2004
In
Geometriae Dedicata
Vol.
1
No
105
De la page
29
A la page
42
Résumé
We prove in this paper that the Hilbert geometry associated with a bounded open convex domain C in R-n whose boundary partial derivativeC is a C-2 hypersuface with nonvanishing Gaussian curvature is bi-Lipschitz equivalent to the n-dimensional hyperbolic space H-n. Moreover, we show that the balls in such a Hilbert geometry have the same volume growth entropy as those in H-n.
Identifiants
Type de publication
journal article
