On measures in sub-Riemannian geometry
Metric Geometry
2017-03-07 v3
Abstract
In \cite{gjha} we give a detailed analysis of spherical Hausdorff measures on sub-Riemannian manifolds in a general framework, that is, without the assumption of equiregularity. The present paper is devised as a complement of this analysis, with both new results and open questions. The first aim is to extend the study to other kinds of intrinsic measures on sub-Riemannian manifolds, namely Popp's measure and general (i.e., non spherical) Hausdorff measures. The second is to explore some consequences of \cite{gjha} on metric measure spaces based on sub-Riemannian manifolds.
Cite
@article{arxiv.1702.00241,
title = {On measures in sub-Riemannian geometry},
author = {Roberta Ghezzi and Frédéric Jean},
journal= {arXiv preprint arXiv:1702.00241},
year = {2017}
}