Dimension of asymptotic cones of Lie groups
Group Theory
2010-08-04 v1 Metric Geometry
Abstract
We compute the covering dimension the asymptotic cone of a connected Lie group. For simply connected solvable Lie groups, this is the codimension of the exponential radical. As an application of the proof, we give a characterization of connected Lie groups that quasi-isometrically embed into a non-positively curved metric space.
Keywords
Cite
@article{arxiv.math/0703192,
title = {Dimension of asymptotic cones of Lie groups},
author = {Yves de Cornulier},
journal= {arXiv preprint arXiv:math/0703192},
year = {2010}
}
Comments
22 pages, 0 figure