Hyperbolic polygons of minimal perimeter with given angles
Geometric Topology
2010-10-08 v1
Abstract
We prove that, among all convex hyperbolic polygons with given angles, the perimeter is minimized by the unique polygon with an inscribed circle. The proof relies on work of J.-M.\ Schlenker.
Cite
@article{arxiv.1010.1380,
title = {Hyperbolic polygons of minimal perimeter with given angles},
author = {Joan Porti},
journal= {arXiv preprint arXiv:1010.1380},
year = {2010}
}
Comments
7 pages, 2 figures