Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups
equipped with a path distance that is invariant by left-translations of the group and admit …

We establish regularity of conformal maps between sub-Riemannian manifolds from
regularity of Q-harmonic functions, and in particular we prove a Liouville-type theorem, ie, 1 …

We study homogeneous metric spaces, by which we mean connected, locally compact
metric spaces whose isometry group acts transitively. After a review of some classical …

Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups
equipped with a path distance that is invariant by left-translations of the group and admit …

We consider the affine-additive group as a metric measure space with a canonical left-
invariant measure and a left-invariant sub-Riemannian metric. We prove that this metric …

Following the Euclidean results of Varopoulos and Pankka–Rajala, we provide a necessary
topological condition for a sub-Riemannian 3-manifold M to admit a nonconstant …

Устанавливается свойство морфизма субэллиптических уравнений для отображений с
ограниченным искажением, область определения которых лежит в группе поворотов …

We consider the rate of volume growth of large Carnot–Carathéodory metric balls on a class
of unbounded model hypersurfaces in ℂ 2. When the hypersurface has a uniform global …

We establish the morphism property of subelliptic equations for mappings with bounded
distortion whose domain lies in the roto-translation group and whose range is the …

Nous étudions les espaces métriques homogènes, c'est-à-dire, les espaces métriques
connexes et localement compacts dont le groupe d'isométries agit transitivement. Après …