Lipschitz extensions of maps between Heisenberg groups
Differential Geometry
2015-05-25 v1 Geometric Topology
Metric Geometry
Abstract
Let \H^n be the Heisenberg group of topological dimension . We prove that if is odd, the pair of metric spaces (\H^n, \H^n) does not have the Lipschitz extension property.
Keywords
Cite
@article{arxiv.1505.06093,
title = {Lipschitz extensions of maps between Heisenberg groups},
author = {Zoltan Balogh and Urs Lang and Pierre Pansu},
journal= {arXiv preprint arXiv:1505.06093},
year = {2015}
}