Parametric versions of Hilbert's fourth problem

DOI10.1007/BF02762267zbMath0978.53081MaRDI QIDQ1279626

Viktor Ohanyan, Rouben V. Ambartsumian

Publication date: 7 February 2002

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

zbMATH Keywords

geodesicsHilbert-Finsler metriclength indicatrixtriangular deficit principle

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Integral geometry (53C65) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

Translation invariant valuations in the space of planes ⋮ Combinatorial principles in stochastic geometry in the plane: A review ⋮ A flag representation for a \(n\)-dimensional convex body

Cites Work

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• Planes for which the lines are the shortest paths between points
• On generation of measures in the space of lines by Finsler metrics
• Combinatorial solution of the Buffon Sylvester problem
• Measure generation by Euler functionals

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