Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
Differential Geometry
2016-09-07 v1 Geometric Topology
Abstract
We use the combinatorial harmonic map theory to study the isometric actions of discrete groups on Hadamard spaces. Given a finitely generated group acting by automorphisms, properly discontinuously and cofinitely on a simplicial complex and its isometric action on a Hadamard space, we formulate criterions for the action to have a global fixed point.
Keywords
Cite
@article{arxiv.math/0410019,
title = {Combinatorial harmonic maps and discrete-group actions on Hadamard spaces},
author = {Hiroyasu Izeki and Shin Nayatani},
journal= {arXiv preprint arXiv:math/0410019},
year = {2016}
}
Comments
39 pages, 3 figures, to appear in Geometriae Dedicata