Flexible hyperbolic cone metrics on the genus 2 surface
Geometric Topology
2025-07-29 v1
Abstract
A negatively curved hyperbolic cone metric on a surface is rigid if it is determined by the support of its Liouville current. We use a theorem of Erlandsson, Leininger, and Sadanand to show that there are nine mapping class group orbits of equivalence classes of non-rigid (aka flexible) metrics in the case of the genus 2 surface.
Cite
@article{arxiv.2507.19677,
title = {Flexible hyperbolic cone metrics on the genus 2 surface},
author = {Katherine Chui and Jacob Russell},
journal= {arXiv preprint arXiv:2507.19677},
year = {2025}
}
Comments
27 Pages, 7 Pages. Paper with undergraduate coauther