Monge's transport problem in the Heisenberg group
Analysis of PDEs
2010-01-25 v1 Metric Geometry
Abstract
We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheodory distance assuming that the initial measure is absolutely continuous with respect to the Haar measure of the group.
Keywords
Cite
@article{arxiv.1001.4012,
title = {Monge's transport problem in the Heisenberg group},
author = {Luigi De Pascale and Severine Rigot},
journal= {arXiv preprint arXiv:1001.4012},
year = {2010}
}