Ma-Schlenker c-Octahedra in the 2-Sphere
Differential Geometry
2016-07-05 v1 Metric Geometry
Abstract
We present constructions inspired by the Ma-Schlenker example of~\cite{Ma:2012hl} that show the non-rigidity of spherical inversive distance circle packings. In contrast to the use in~\cite{Ma:2012hl} of an infinitesimally flexible Euclidean polyhedron, embeddings in de Sitter space, and Pogorelov maps, our elementary constructions use only the inversive geometry of the -sphere.
Cite
@article{arxiv.1607.00453,
title = {Ma-Schlenker c-Octahedra in the 2-Sphere},
author = {John C. Bowers and Philip L. Bowers},
journal= {arXiv preprint arXiv:1607.00453},
year = {2016}
}