Minimal displacement set for CAT(0) cubical complexes
Group Theory
2025-06-25 v2
Abstract
We investigate the structure of the minimal displacement set in CAT(0) cubical complexes. We show that such set is convex, it is locally endowed with a CAT(0) metric and it is simply connected.
Cite
@article{arxiv.2505.23318,
title = {Minimal displacement set for CAT(0) cubical complexes},
author = {Ioana-Claudia Lazar},
journal= {arXiv preprint arXiv:2505.23318},
year = {2025}
}
Comments
It turns out there is counterexample according to which the minimal displacement set of a hyperbolic isometry acting on a CAT(0) cubical complex is not convex