A sandwich with segment convexity
Metric Geometry
2020-09-29 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2009.13400,
title = {A sandwich with segment convexity},
author = {Mihály Bessenyei and Dávid Cs. Kertész and Rezső L. Lovas},
journal= {arXiv preprint arXiv:2009.13400},
year = {2020}
}
Comments
11 pages, 3 figures