Hilbert geometries with Riemannian points

DOI10.1007/s10231-019-00901-5zbMath1447.53018OpenAlexW2971790270WikidataQ115385024 ScholiaQ115385024MaRDI QIDQ2309449

Árpád Kurusa

Publication date: 1 April 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-019-00901-5

zbMATH Keywords

Hilbert geometryprojective metricgeometric tomographyBeltrami's theoremCayley-Klein modelinfinitesimal circle\((-1)\)-chord functionRiemannian point

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Non-Euclidean differential geometry (53A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• On the equireciprocal point problem
• Antinorms and Radon curves
• The Ptolemaic inequality in Hilbert geometries
• Symmetric perpendicularity in Hilbert geometries
• Differentiation of the Limit Mapping in a Dynamical System

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