Geodesics in the Heisenberg group
Metric Geometry
2015-10-21 v5
Abstract
We provide a new and elementary proof for the structure of geodesics in the Heisenberg group . The proof is based on a new isoperimetric inequality for closed curves in . We also prove that the Carnot-Carath\'eodory metric is real analytic away from the center of the group.
Keywords
Cite
@article{arxiv.1412.1797,
title = {Geodesics in the Heisenberg group},
author = {Piotr Hajłasz and Scott Zimmerman},
journal= {arXiv preprint arXiv:1412.1797},
year = {2015}
}