Virtual boundaries of Hadamard spaces with admissible actions of higher rank

Details Virtual boundaries of Hadamard spaces with admissible actions of higher rank Virtual boundaries of Hadamard spaces with admissible actions of higher rank

2010-11-13

arxiv.org/abs/1011.3146v1

Mathematics

Metric Geometry

24 pages, 5 figures

Scientific paper

Any discrete action of a group on a locally compact Hadamard space extends to a topological action on the virtual boundary. Croke and Kleiner introduced a class of so-called admissible actions and associated geometric data which determine the topological conjugacy class of the boundary action. They also posed the question whether their results hold for a wider class of actions. We show that, for the natural generalization, their question has to be answered in the negative: There is an admissible action of higher rank on a pair of Hadamard spaces with equivalent geometric data and an equivariant quasi-isometry which does not extend continuously to the virtual boundaries.

Affiliated with

Also associated with

No associations

Rating

Virtual boundaries of Hadamard spaces with admissible actions of higher rank 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 Virtual boundaries of Hadamard spaces with admissible actions of higher rank, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Virtual boundaries of Hadamard spaces with admissible actions of higher rank will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-445576