3 papers
math.DG2026
Stability of local Riemannian Ricci curvature lower bounds
Luigi Ambrosio, Francesco Nobili, Federico Renzi +1
We establish the stability of local Riemannian Ricci curvature lower bounds along Gromov-Hausdorff convergence. A central part of our analysis is devoted to showing the stability o…
math.MG2025
Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions
Francesco Nobili, Federico Renzi, Federico Vitillaro
We study the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying different types of curvature dimension conditions. The case of functions of boun…
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…