Asymptotic cones of Lie groups and cone equivalences

Details Asymptotic cones of Lie groups and cone equivalences Asymptotic cones of Lie groups and cone equivalences

2009-07-15

arxiv.org/abs/0907.2546v2

Mathematics

Group Theory

22 pages, 0 figure. v1->v2: many additions, especially about nilpotent groups

Scientific paper

We introduce cone bilipschitz equivalences between metric spaces. These are maps, more general than quasi-isometries, that induce a bilipschitz homeomorphism between asymptotic cones. Non-trivial examples appear in the context of Lie groups, and we thus prove that the study of asymptotic cones of connected Lie groups can be reduced to that of solvable Lie groups of a special form. We also focus on asymptotic cones of nilpotent groups.

Affiliated with

Also associated with

No associations

Rating

Asymptotic cones of Lie groups and cone equivalences does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic cones of Lie groups and cone equivalences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic cones of Lie groups and cone equivalences will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-364269