English

On the displacement function of isometries of Euclidean buildings

Metric Geometry 2014-05-06 v1

Abstract

In this note we study the displacement function dg(x):=d(gx,x)d_g(x):=d(gx,x) of an isometry gg of a Euclidean building. We give a lower bound for dg(x)d_g(x) depending on the distance from xx to the minimal set of gg.

Keywords

Cite

@article{arxiv.1405.0895,
  title  = {On the displacement function of isometries of Euclidean buildings},
  author = {Carlos Ramos-Cuevas},
  journal= {arXiv preprint arXiv:1405.0895},
  year   = {2014}
}