The Ptolemaic inequality in Hilbert geometries

DOI10.2140/pjm.1967.21.293zbMath0147.22406OpenAlexW2033079393MaRDI QIDQ2524511

David C. Kay

Publication date: 1967

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1967.21.293

zbMATH Keywords

metric geometry, convex geometry, integral geometry

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The planar trisection problem and the impact of curvature on nonlinear least-squares estimation ⋮ On the entropy of Hilbert geometries of low regularities ⋮ Quasilinearization and curvature of Aleksandrov spaces ⋮ Polynomial cubic differentials and convex polygons in the projective plane ⋮ The Ptolemaean inequality in the closure of complexhyperbolic planes ⋮ Snowflake universality of Wasserstein spaces ⋮ Characterization of geodesic arcs ⋮ PTOLEMAIC SPACES AND CAT(0) ⋮ Hilbert geometries with Riemannian points ⋮ Lipschitz characterisation of polytopal Hilbert geometries ⋮ A new weighted metric: the relative metric. I

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