Minimal displacement set for CAT(0) cubical complexes
arXiv:2505.23318
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.
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