Foldable cubical complexes of nonpositive curvature
Metric Geometry
2014-10-01 v1 Group Theory
Abstract
We study finite foldable cubical complexes of nonpositive curvature (in the sense of A.D. Alexandrov). We show that such a complex X admits a graph of spaces decomposition. It is also shown that when dim X=3, X contains a closed rank one geodesic in the 1-skeleton unless the universal cover of X is isometric to the product of two CAT(0) cubical complexes.
Cite
@article{arxiv.math/0409067,
title = {Foldable cubical complexes of nonpositive curvature},
author = {Xiangdong Xie},
journal= {arXiv preprint arXiv:math/0409067},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-28.abs.html