Lipschitz non-extension theorems into jet space Carnot groups
Metric Geometry
2009-07-30 v1
Abstract
We prove non-extendability results for Lipschitz maps with target space being jet spaces equipped with a left-invariant Riemannian distance, as well as jet spaces equipped with a left-invariant sub-Riemannian Carnot-Caratheodory distance. The jet spaces give a model for a certain class of Carnot groups, including in particular all Heisenberg groups.
Keywords
Cite
@article{arxiv.0907.5187,
title = {Lipschitz non-extension theorems into jet space Carnot groups},
author = {Severine Rigot and Stefan Wenger},
journal= {arXiv preprint arXiv:0907.5187},
year = {2009}
}
Comments
11 pages