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Journal of Topology Advance Access first published online on February 6, 2008
This version published online on February 8, 2008
Journal of Topology, doi:10.1112/jtopol/jtm013
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© 2008 London Mathematical Society

Dimension of asymptotic cones of Lie groups

Yves de Cornulier

IRMAR, Campus de Beaulieu, 35042 Rennes Cedex, France yves.decornulier@univ-rennes1.fr


  Abstract

We compute the covering dimension of 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 nonpositively curved metric space.

Received February 6, 2007.

2000 Mathematics Subject Classification 22E15 (primary), 20F69, 22E25, 54F45 (secondary)

The originally published version of this article was incorrect, as the wrong author email address was given. The publisher apologizes for this error.


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