Dimension of asymptotic cones of Lie groups

Details Dimension of asymptotic cones of Lie groups Dimension of asymptotic cones of Lie groups

2007-03-07

arxiv.org/abs/math/0703192v1

J. Topology 1(2), 343-361, 2008

Mathematics

Group Theory

22 pages, 0 figure

Scientific paper

10.1112/jtopol/jtm013

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.

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