Isometries of systolic spaces

Tomasz Elsner. "Isometries of systolic spaces." Fundamenta Mathematicae 204.1 (2009): 39-55. <http://eudml.org/doc/282729>.

@article{TomaszElsner2009,
abstract = {We provide a classification of isometries of systolic complexes corresponding to the classification of isometries of CAT(0)-spaces. We prove that any isometry of a systolic complex either fixes the barycentre of some simplex (elliptic case) or stabilizes a thick geodesic (hyperbolic case). This leads to an alternative proof of the fact that finitely generated abelian subgroups of systolic groups are undistorted.},
author = {Tomasz Elsner},
journal = {Fundamenta Mathematicae},
keywords = {systolic complexes; systolic groups; minimal surfaces; elliptic isometries; hyperbolic isometries; CAT(0)-spaces},
language = {eng},
number = {1},
pages = {39-55},
title = {Isometries of systolic spaces},
url = {http://eudml.org/doc/282729},
volume = {204},
year = {2009},
}

TY - JOUR
AU - Tomasz Elsner
TI - Isometries of systolic spaces
JO - Fundamenta Mathematicae
PY - 2009
VL - 204
IS - 1
SP - 39
EP - 55
AB - We provide a classification of isometries of systolic complexes corresponding to the classification of isometries of CAT(0)-spaces. We prove that any isometry of a systolic complex either fixes the barycentre of some simplex (elliptic case) or stabilizes a thick geodesic (hyperbolic case). This leads to an alternative proof of the fact that finitely generated abelian subgroups of systolic groups are undistorted.
LA - eng
KW - systolic complexes; systolic groups; minimal surfaces; elliptic isometries; hyperbolic isometries; CAT(0)-spaces
UR - http://eudml.org/doc/282729
ER -