Local convexity of metric balls
Metric Geometry
2017-11-13 v3
Abstract
We study local convexity properties of the triangular ratio metric balls in proper subdomains of the real coordinate space. We also study inclusion properties of the visual angle metric balls and related hyperbolic type metric balls in the complement of the origin and the upper half space.
Keywords
Cite
@article{arxiv.1511.05673,
title = {Local convexity of metric balls},
author = {Parisa Hariri and Riku Klén and Matti Vuorinen},
journal= {arXiv preprint arXiv:1511.05673},
year = {2017}
}
Comments
15 pages, 5 figures