Multiexponential maps in Carnot groups with applications to convexity and differentiability
Metric Geometry
2020-05-11 v2
Abstract
We analyze some properties of a class of multiexponential maps appearing naturally in the geometric analysis of Carnot groups. We will see that such maps can be useful in at least two interesting problems. First, in relation to the analysis of some regularity properties of horizontally convex sets. Then, we will show that our multiexponential maps can be used to prove the Pansu differentiability of the subRiemannian distance from a fixed point.
Keywords
Cite
@article{arxiv.1908.01124,
title = {Multiexponential maps in Carnot groups with applications to convexity and differentiability},
author = {Annamaria Montanari and Daniele Morbidelli},
journal= {arXiv preprint arXiv:1908.01124},
year = {2020}
}
Comments
Revised version. Published on Annali di Matematica Pura ed Applicata