19 citations · 79 across the 20 of their papers we have counts for
21 papers
New properties of length-extremals in free step-2 rank-4 Carnot groups
Annamaria Montanari, Daniele Morbidelli
In the free, step-2, rank-4 sub-Riemannian Carnot group, we give a clean expression for length-extremals, we provide an explicit equation for conjugate points, we relate it with th…
SubRiemannian cut time and cut locus in Reiter-Heisenberg groups
Annamaria Montanari, Daniele Morbidelli
We study the subRiemannian cut time and cut locus of a given point in a class of step-2 Carnot groups of Reiter-Heisenberg type. Following the Hamiltonian point of view, we write a…
Precisely monotone sets in step-2 rank-3 Carnot algebras
Daniele Morbidelli, Séverine Rigot
A subset of a Carnot group is said to be precisely monotone if the restriction of its characteristic function to each integral curve of every left-invariant horizontal vector field…
Horizontally affine functions on step-2 Carnot algebras
Enrico Le Donne, Daniele Morbidelli, Séverine Rigot
In this paper we introduce the notion of horizontally affine, h-affine in short, function and give a complete description of such functions on step-2 Carnot algebras. We show that…
Anisotropic estimates of subelliptic type
Annamaria Montanari, Daniele Morbidelli
We discuss some estimates of subelliptic type related with vector fields satisfying the Hörmander condition. Our approach makes use of a class of approximate exponentials maps. Suc…
Multiexponential maps in Carnot groups with applications to convexity and differentiability
Annamaria Montanari, Daniele Morbidelli
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…