Isometries of polyhedral Hilbert geometries

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dc.creatorLemmens, Bas
dc.creatorWalsh, Cormac
dc.date2009-04-21
dc.date.accessioned2026-07-07T13:06:55Z
dc.date.available2026-07-07T13:06:55Z
dc.descriptionWe show that the isometry group of a polyhedral Hilbert geometry coincides with its group of collineations (projectivities) if and only if the polyhedron is not an n-simplex with n>=2. Moreover, we determine the isometry group of the Hilbert geometry on the n-simplex, and find that it has the collineation group as an index-two subgroup. These results confirm, for the class of polyhedral Hilbert geometries, several conjectures posed by P. de la Harpe.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0904.3306
dc.identifierhttp://arxiv.org/abs/0904.3306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227932
dc.subjectMetric Geometry
dc.subject53C60; 22F50
dc.titleIsometries of polyhedral Hilbert geometries
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