Projective Rigidity of Circle Packings
Geometric Topology
2023-07-19 v1 Differential Geometry
Abstract
We prove that the space of circle packings consistent with a given triangulation on a surface of genus at least two is projectively rigid, so that a packing on a complex projective surface is not deformable within that complex projective structure. More broadly, we show that the space of circle packings is a submanifold within the space of complex projective structures on that surface.
Cite
@article{arxiv.2307.08972,
title = {Projective Rigidity of Circle Packings},
author = {Francesco Bonsante and Michael Wolf},
journal= {arXiv preprint arXiv:2307.08972},
year = {2023}
}
Comments
9 figures