From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Stability of local Riemannian Ricci curvature lower bounds
Luigi Ambrosio, Francesco Nobili, Federico Renzi +1
The paper proves that lower bounds on Ricci curvature for Riemannian manifolds remain stable under Gromov‑Hausdorff convergence, using a local analysis of weak gradients and heat‑f…
math.AP2026
Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups
Luigi Ambrosio, Gianluca Somma, Simone Verzellesi +1
In this paper we obtain the well-posedness of the transport and continuity equations in the Heisenberg groups for a class of contact vector fields , under…
math.MG2025
The superposition principle for local 1-dimensional currents
Luigi Ambrosio, Federico Renzi, Federico Vitillaro
We prove that every one-dimensional locally normal metric current, intended in the sense of U. Lang and S. Wenger, admits a nice integral representation through currents associated…