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On the addition of convex sets in the hyperbolic plane

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Publication:1430540
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DOI10.1007/s00022-003-1666-2zbMath1060.52004OpenAlexW2515446580MaRDI QIDQ1430540

Kurt Leichtweiß\

Publication date: 27 May 2004

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-003-1666-2


zbMATH Keywords

horocyclic convexityhyperbolic kinematicshyperbolic Minkowski additionhyperbolic mixed volume


Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Convex sets in (2) dimensions (including convex curves) (52A10) Geometric constructions in real or complex geometry (51M15)


Related Items (5)

Linear combinations of hypersurfaces in hyperbolic space ⋮ Geometric criterion for a robust condition of no sure arbitrage with unlimited profit ⋮ A representation of hyperbolic motions including the infinite-dimensional case ⋮ Structural stability threshold for the condition of robust no deterministic sure arbitrage with unbounded profit ⋮ Curves of constant width in the non-Euclidean geometry




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