19 citations · 83 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…
Differentiability of monotone maps related to non-quadratic costs
Cristian E. Gutiérrez, Annamaria Montanari
The cost functions considered are , with , homogeneous of degree , with positive definite Hessian in the unit sphere. We consider monotone ma…
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…
Fine properties of monotone maps arising in optimal transport for non-quadratic costs
Cristian E. Gutierrez, Annamaria Montanari
The cost functions considered are , where , homogeneous of degree , with a positive definite Hessian in the unit sphere. We study mu…
-estimates in optimal transport for non quadratic costs
Cristian E. Gutiérrez, Annamaria Montanari
For cost functions with homogeneous of degree , we show -estimates of on balls, where is an -monotone map. Estimates for…
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…