Metric characterizations of spherical, and Euclidean buildings
Metric Geometry
2014-11-11 v1 Group Theory
Abstract
A building is a simplicial complex with a covering by Coxeter complexes (called apartments) satisfying certain combinatorial conditions. A building whose apartments are spherical (respectively Euclidean) Coxeter complexes has a natural piecewise spherical (respectively Euclidean) metric with nice geometric properties. We show that spherical and Euclidean buildings are completely characterized by some simple, geometric properties.
Keywords
Cite
@article{arxiv.math/0106188,
title = {Metric characterizations of spherical, and Euclidean buildings},
author = {Ruth Charney and Alexander Lytchak},
journal= {arXiv preprint arXiv:math/0106188},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper17.abs.html