Hilbert geometry for convex polygonal domains
arXiv:0804.1620 · doi:10.1007/s00022-011-0066-2
Abstract
We prove in this paper that the Hilbert geometry associated with an open convex polygonal set is Lipschitz equivalent to Euclidean plane.
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- Lipschitz Characterisation of Polytopal Hilbert Geometries
- Hilbert domains quasi-isometric to normed vector spaces
- Polynomial cubic differentials and convex polygons in the projective plane
- Asymptotic volume in Hilbert Geometries