The Funk and Hilbert geometries for spaces of constant curvature
نویسندگان
چکیده
منابع مشابه
The Funk and Hilbert geometries for spaces of constant curvature
The goal of this paper is to introduce and study analogues of the Euclidean Funk and Hilbert metrics on open convex subsets Ω of hyperbolic or spherical spaces. At least at a formal level, there are striking similarities among the three cases: Euclidean, spherical and hyperbolic. We start by defining non-Euclidean analogues of the Euclidean Funk weak metric and we give three distinct representa...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2013
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-013-0513-2