3 papers
math.DG2025
Strictly abnormal geodesics with a degeneracy point in the interior of their domain
Nicola Paddeu, Alessandro Socionovo
In this article, we study abnormal curves in a family of sub-Riemannian manifolds of rank 2. We focus on abnormal curves whose lifts to the cotangent bundle annihilate, at an inter…
math.MG2025
Hypergenerated Carnot groups
Enrico Le Donne, Luca Nalon, Nicola Paddeu +1
In this paper we provide an algebraic characterization of those stratified groups in which boundaries with locally constant normal are locally flat. We show that these groups, whic…
math.DG2023
Escape from compact sets of normal curves in Carnot groups
Enrico Le Donne, Nicola Paddeu
In the setting of subFinsler Carnot groups, we consider curves that satisfy the normal equation coming from the Pontryagin Maximum Principle. We show that, unless it is constant, e…