A sandwich with segment convexity

2020/09/28 by Mihály Bessenyei, Bessenyei, Mihály, Dávid Cs. Kertész +3
Mathematics · #39B82 #52A05 #52A55 #53C22 #53C25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG) #Primary 26B25 #Secondary 39B62 #math.CA #math.MG #msc:26B25 #msc:39B62 #msc:39B82 #msc:52A05 #msc:52A55 #msc:53C22 #msc:53C25

paper · pdf · doi:10.48550/arxiv.2009.13400

11 pages, 3 figures

arxiv created 2020/09/28 · arxiv updated 2020/09/29

Abstract

The aim of this note is to give a sufficient condition for pairs of functions to have a convex separator when the underlying structure is a Cartan--Hadamard manifold, or more generally: a reduced Birkhoff--Beatley system. Some exotic behavior of convex hulls are also studied.

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