Asymmetric expansion preserves hyperbolic convexity
Differential Geometry
2020-10-02 v2
Abstract
In an earlier paper we showed that the radial expansion of a hyperbolic convex set in the Poincar\'e disk about any point inside it results in a hyperbolic convex set. In this work, we generalize this result by showing that the asymmetric expansion of a hyperbolic convex set about any point inside it also results in a hyperbolic convex set.
Cite
@article{arxiv.2002.04714,
title = {Asymmetric expansion preserves hyperbolic convexity},
author = {Dhruv Kohli and Jeffrey M. Rabin},
journal= {arXiv preprint arXiv:2002.04714},
year = {2020}
}
Comments
13 pages, 1 figure, preprint