Diameter, width and thickness in the hyperbolic plane

2020/11/30 by Horváth, Ákos G.
#51M09 #51M10 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2011.14739

Abstract

This paper contains a new concept to measure the width and thickness of a convex body in the hyperbolic plane. We compare the known concepts with the new one and prove some results on bodies of constant width, constant diameter and given thickness.

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