Ricci curvatures in Carnot groups
Optimization and Control
2013-05-28 v1 Differential Geometry
Metric Geometry
Abstract
We study metric contraction properties for metric spaces associated with left-invariant sub-Riemannian metrics on Carnot groups. We show that ideal sub-Riemannian structures on Carnot groups satisfy such properties and give a lower bound of possible curvature exponents in terms of the datas.
Cite
@article{arxiv.1305.6057,
title = {Ricci curvatures in Carnot groups},
author = {Ludovic Rifford},
journal= {arXiv preprint arXiv:1305.6057},
year = {2013}
}
Comments
29 pages, 1 figure