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Rigidity of Hilbert metrics
Auteur(s)
Verovic, Patrick
Date Issued
2002
Journal
Bulletin of the Australian Mathematical Society
Vol.
1
No
65
From page
23
To page
34
Abstract
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.
Identifiers
Publication type
journal article
