7 citations · 19 across the 15 of their papers we have counts for
4 papers · 1 filter
On measures in sub-Riemannian geometry
Roberta Ghezzi, Frédéric Jean
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. Th…
Hausdorff volume in non equiregular sub-Riemannian manifolds
Roberta Ghezzi, Frédéric Jean
In this paper we study the Hausdorff volume in a non equiregular sub-Riemannian manifold and we compare it with a smooth volume. We first give the Lebesgue decomposition of the Hau…
Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
Roberta Ghezzi, Frédéric Jean
This paper is a starting point towards computing the Hausdorff dimension of submanifolds and the Hausdorff volume of small balls in a sub-Riemannian manifold with singular points.…
A new class of -rectifiable subsets of metric spaces
Roberta Ghezzi, Frédéric Jean
The main motivation of this paper arises from the study of Carnot-Carathéodory spaces, where the class of 1-rectifiable sets does not contain smooth non-horizontal curves; therefor…